Last visit was: 18 Nov 2025, 20:13 It is currently 18 Nov 2025, 20:13
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
User avatar
OmerKor
Joined: 24 Jan 2024
Last visit: 10 Sep 2025
Posts: 129
Own Kudos:
150
 [1]
Given Kudos: 150
Location: Israel
Posts: 129
Kudos: 150
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
D3N0
Joined: 21 Jan 2015
Last visit: 12 Nov 2025
Posts: 587
Own Kudos:
572
 [1]
Given Kudos: 132
Location: India
Concentration: Operations, Technology
GMAT 1: 620 Q48 V28
GMAT 2: 690 Q49 V35
WE:Operations (Retail: E-commerce)
Products:
GMAT 2: 690 Q49 V35
Posts: 587
Kudos: 572
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
pintukr
Joined: 03 Jul 2022
Last visit: 18 Nov 2025
Posts: 1,590
Own Kudos:
1,088
 [1]
Given Kudos: 22
GMAT 1: 680 Q49 V34
Products:
GMAT 1: 680 Q49 V34
Posts: 1,590
Kudos: 1,088
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
LastHero
Joined: 15 Dec 2024
Last visit: 11 Nov 2025
Posts: 134
Own Kudos:
147
 [1]
Given Kudos: 1
Posts: 134
Kudos: 147
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
(1)
Profit = Selling Price - Cost Price
We already know the profit of each component. Knowing the costs does not provide us with any useful information.

Condition (1) is insufficient

(2)
As smart rings use less software calibration hours, we first allocate the maximum possible smart rings. We can allocate 50 smart rings.
But there are 100 software calibration hours not allocated. If we substitute 1 smart ring for 1 fitness tracker, we use 4 additional software calibration hours and we gain 10 more dollars.
There are 100 software calibration hours not allocated, so we can substitute 100/4=25 smart rings for fitness trackers and gain 250 more dollars.
Fitness trackers=25

Condition (2) is sufficient

Answer B
User avatar
nousernamefine
Joined: 14 Jan 2024
Last visit: 05 Nov 2025
Posts: 29
Own Kudos:
28
 [1]
Given Kudos: 131
Location: India
GPA: 4
Posts: 29
Kudos: 28
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Statement 1, gives info about cost- no info on maximum hrs limit - Not sufficienT
Statement (2) tells us about restricting constraints, hrs so it will give 2 equations hance can be solved. This is sufficient.
Ans B
Bunuel
12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

A certain electronics company produces and sells two products: a fitness tracker and a smart ring. Each fitness tracker requires 4 hours of assembly and 6 hours of software calibration, while each smart ring requires 4 hours of assembly and 2 hours of software calibration. The company’s profit on each fitness tracker is $40 and its profit on each smart ring is $30. If the facility the company uses to produce these products has limited weekly capacities for assembly and software calibration, how many fitness trackers should the company produce each week to maximize profit for these two products?

(1) The cost of the components for each fitness tracker is twice that for each smart ring.
(2) The facility has the capacity for 200 hours of assembly time each week and 200 hours of software calibration each week.


 


This question was provided by Manhattan Prep
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

 

User avatar
BatrickPatemann
Joined: 29 May 2024
Last visit: 16 Nov 2025
Posts: 64
Own Kudos:
Given Kudos: 153
Products:
Posts: 64
Kudos: 55
Kudos
Add Kudos
Bookmarks
Bookmark this Post
From 1 we can get the relationship between both product's costs, but by itself is clearly insufficient to max profit function. Insufficient. Eliminate A & D

From 2, 200 >= 4x + 4y is the function we get from the amount of hours required to assemble each product and the max weekly hours.

Simplify: 50 >= x + y

200 >= 6x + 2y, which simplifies to 100 >= 3x + y

Key here is to read the first couple of words, "produces and sells two products" which translates to x>0 and y>0

so 50 = x+y
100 = 3x + y
x>0 and y>0

Still we'd need more information since we are asked to maximise profits and profits' equation is P = Revenue - Costs. We don't get any information about cost here.

Eliminate B.

C or E

From previous restrictions and the relationship of costs we could figure out?

50 -x = y
100 = 50 +2x -> 25 = x and y = 25


So -> maxprofit (x,y) = 40*X - 3*Cost + 30*y - Cost = still dependent on costs.

Answer E. Insufficient.
User avatar
__Poisonivy__
Joined: 24 Feb 2024
Last visit: 08 Apr 2025
Posts: 53
Own Kudos:
56
 [1]
Given Kudos: 2
Posts: 53
Kudos: 56
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Let the no. of fitness trackers produced= x
and the no. of smart rings produced= y

Also it's given that, it requires 4 hrs. of assembly and 6 hrs. of software calibration which generates $40 profit for Fitness tracker.

And, it requires 4 hrs. of assembly and 2 hrs. of software calibration which generates $30 profit for ring.

So, Profit= P=40x+30y

Statement1-
This provides information about the cost of components but does not give any constraints on assembly or software calibration capacity. Without knowing the facility’s capacities, this statement is insufficient to determine the optimal number of fitness trackers to produce.

So, Statement1 is insufficient.

Statement2-
Assembly time: 4x+4y<= 200
Software calib.: 6x+2y<=200

So, using these constraints, we can find the value of 40x+30y.

So, Statement2 is sufficient.

Ans- (B) statement 2 is sufficient.
User avatar
mpp01
Joined: 13 Dec 2024
Last visit: 08 Jun 2025
Posts: 49
Own Kudos:
Given Kudos: 9
Location: Spain
Posts: 49
Kudos: 48
Kudos
Add Kudos
Bookmarks
Bookmark this Post
(1) We get the relationship between costs from both products but profitability might change depending on exact costs
Profit of Fitness = 40 - 3*C
Profit of Ring = 30 - C

for c>4 profit of R > F so insufficient

(2) Gives us max values for assembly and software calibration but without costs information we can't determine profitability. Insufficient

Combined we still need information about exact number of costs eventhough we know the limits of hours for each part of the process for both products combined. Insufficient. Answer E

200 >= 4F + 2S & 200 >= 6F + 2S is not enough information even plugging in Fitness Cost = 3*Ring Cost
User avatar
nikiki
Joined: 07 May 2023
Last visit: 18 Nov 2025
Posts: 56
Own Kudos:
Given Kudos: 89
Location: India
Posts: 56
Kudos: 57
Kudos
Add Kudos
Bookmarks
Bookmark this Post
x = no. of fitness trackers produced/week
y = no. of smart watches produced/week


We have to maximize the profit = 40X + 30y

(I)
This does not affect the capacity restrictions or the profit so insufficient
Insufficient

(II)
x + y <= 50
3x+y<=100

solving the equations we get the values of x and y
Sufficient

Option B

Bunuel
12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

A certain electronics company produces and sells two products: a fitness tracker and a smart ring. Each fitness tracker requires 4 hours of assembly and 6 hours of software calibration, while each smart ring requires 4 hours of assembly and 2 hours of software calibration. The company’s profit on each fitness tracker is $40 and its profit on each smart ring is $30. If the facility the company uses to produce these products has limited weekly capacities for assembly and software calibration, how many fitness trackers should the company produce each week to maximize profit for these two products?

(1) The cost of the components for each fitness tracker is twice that for each smart ring.
(2) The facility has the capacity for 200 hours of assembly time each week and 200 hours of software calibration each week.


 


This question was provided by Manhattan Prep
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

 

User avatar
maddscientistt
Joined: 09 Mar 2023
Last visit: 17 Jul 2025
Posts: 41
Own Kudos:
47
 [1]
Given Kudos: 64
Posts: 41
Kudos: 47
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
fitness trackers produced in a week - f
smart watches produced in a week - s

40f + 30s has to be max

(I)
The cost of components for each fitness tracker is twice that of a smart ring.
This information doesn't affect the production decision. It’s insufficient.

(II)
f+s<=50
3f+3s<=100
solving this we get the optimal number of fitness trackers to be around 25
Suficient

Answer - Option B . Only statement 2 is sufficient, statement 1 is not


Bunuel
12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

A certain electronics company produces and sells two products: a fitness tracker and a smart ring. Each fitness tracker requires 4 hours of assembly and 6 hours of software calibration, while each smart ring requires 4 hours of assembly and 2 hours of software calibration. The company’s profit on each fitness tracker is $40 and its profit on each smart ring is $30. If the facility the company uses to produce these products has limited weekly capacities for assembly and software calibration, how many fitness trackers should the company produce each week to maximize profit for these two products?

(1) The cost of the components for each fitness tracker is twice that for each smart ring.
(2) The facility has the capacity for 200 hours of assembly time each week and 200 hours of software calibration each week.


 


This question was provided by Manhattan Prep
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

 

User avatar
chloepham
Joined: 17 Nov 2024
Last visit: 09 Jan 2025
Posts: 12
Own Kudos:
13
 [1]
Given Kudos: 16
Posts: 12
Kudos: 13
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
The (1) data only is not sufficient, because the info is irrelevant
The (2) data only is sufficient, because:
The facility has the capacity for 200 hours of assembly time each week and 200 hours of software calibration each week.
  • With these constraints, we can formulate the problem as a linear optimization question:
    • Let x = number of fitness trackers
    • Let y = number of smart rings
    Subject to:
    4x+4y≤200(assembly constraint)
    6x+2y≤200(software calibration constraint)
  • The profit function to maximize is:
    P=40x+30y
  • With this information, we can use linear programming or test integer solutions at the intersection of these constraints to determine the values of x(fitness trackers) and y(smart rings) that maximize profit.

Choose B
Bunuel
12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

A certain electronics company produces and sells two products: a fitness tracker and a smart ring. Each fitness tracker requires 4 hours of assembly and 6 hours of software calibration, while each smart ring requires 4 hours of assembly and 2 hours of software calibration. The company’s profit on each fitness tracker is $40 and its profit on each smart ring is $30. If the facility the company uses to produce these products has limited weekly capacities for assembly and software calibration, how many fitness trackers should the company produce each week to maximize profit for these two products?

(1) The cost of the components for each fitness tracker is twice that for each smart ring.
(2) The facility has the capacity for 200 hours of assembly time each week and 200 hours of software calibration each week.


 


This question was provided by Manhattan Prep
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

 

User avatar
finisher009
Joined: 10 Jun 2025
Last visit: 15 Nov 2025
Posts: 48
Own Kudos:
Given Kudos: 54
GMAT Focus 1: 625 Q82 V83 DI78
GMAT Focus 1: 625 Q82 V83 DI78
Posts: 48
Kudos: 8
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Equation Setup
1. Write variables:
• Let F = # fitness trackers, R = # smart rings.

2. Write the objective:
• Total profit = 40F + 30R (just multiply units by per-item profit).

3. Set up constraints quickly:
• Assembly time: 4F + 4R <= total assembly hours
• Calibration time: 6F + 2R <= total calibration hours

4. Use info given:
• Plug in actual constraint values if provided (e.g., “...200 hours per week” means 4F + 4R <= 200, 6F + 2R <= 200).

Quick Decision
• Statement 2 ALONE is sufficient to answer.
• Statement 1 alone does nothing; component cost info is irrelevant for maximizing profit given time constraints.


Don’t solve the equations!
• For sufficiency: Confirm you have enough to set up (not solve) the system and maximize profit.

Tips and Traps for Max Profit Problems
• Focus on identifying variables, profit function, and constraints first—don’t get lost in extra info.
• Test extreme cases: All F, all R, then mixed.
• Avoid trying to solve; check if setup is possible for DS.
• Watch for hidden resource limits (time, money, materials) and plug numbers in fast!
   1   2   3 
Moderators:
Math Expert
105355 posts
496 posts