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28 Dec 2024, 02:00
Kudos
Bookmarks
Hi everyone 
Last day!
We are dealing here with a profit and calculation problem.
Fit tracker = 40$ profit, assembly 4 hours, software 6 hours.
Ring = 30$ profit, assembly 4 hours, software 2 hours.
[?]: How many Fit Trackers should they make to maximize profit?
We need to find the maximum hours of each category: assembly & software.
1 value = Sufficient
2 values = InSufficient
(1) cost of Fitness Tracker = 2x Ring = x
The cost is not rellevant here because we know the profit and we are asked about the profit.
Insufficient.
(2) Total hours: assembly 200 hours & software 200 hours.
* We have the total hours so we can come up with the best combination. We can stop here in the test but,
Still, let's find that combination:
25*(40+30)=25*70= 1750$
Sufficient.
Our answer is B
Last day!
We are dealing here with a profit and calculation problem.
Fit tracker = 40$ profit, assembly 4 hours, software 6 hours.
Ring = 30$ profit, assembly 4 hours, software 2 hours.
[?]: How many Fit Trackers should they make to maximize profit?
We need to find the maximum hours of each category: assembly & software.
1 value = Sufficient
2 values = InSufficient
(1) cost of Fitness Tracker = 2x Ring = x
The cost is not rellevant here because we know the profit and we are asked about the profit.
Insufficient.
(2) Total hours: assembly 200 hours & software 200 hours.
* We have the total hours so we can come up with the best combination. We can stop here in the test but,
Still, let's find that combination:
| Assembly | Software | Total | |
| Fit Tracker (Hours) | 100 | 150 | |
| Fit Tracker (Profit) | 25*4 | 25*6 | 25*40$ |
| Ring (Hours) | 100 | 50 | |
| Ring (Profit) | 25*4 | 25*2 | 25*30$ |
Sufficient.
Our answer is B
28 Dec 2024, 02:52
Kudos
Bookmarks
Ans: B
Limited weekly capacity for both assembly and soft cal
FT ? for max profit ??
(1) The cost of the components for each fitness tracker is twice that for each smart ring.
Cost of components is not a factor as we are already given the profit that we need to maximize so this is not sufficient
(2) The facility has the capacity for 200 hours of assembly time each week and 200 hours of software calibration each week.
we can only sell when the assemble and soft cal has been done => profit
here assembly hrs are the same so the constraints become soft cal for which we can calculate the values for max profit. Sufficient
| FT | SR | ||
| Assembly | 4 hrs | 4hrs | |
| Soft Cal | 6 hrs | 2 hrs | |
| Profit | $40 | $30 |
FT ? for max profit ??
(1) The cost of the components for each fitness tracker is twice that for each smart ring.
Cost of components is not a factor as we are already given the profit that we need to maximize so this is not sufficient
(2) The facility has the capacity for 200 hours of assembly time each week and 200 hours of software calibration each week.
we can only sell when the assemble and soft cal has been done => profit
here assembly hrs are the same so the constraints become soft cal for which we can calculate the values for max profit. Sufficient
28 Dec 2024, 03:15
Kudos
Bookmarks
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?
[color=#000000]Let the number of Fitness Tracker = f;[/color]
[color=#000000] and the number of Smart Ring = s[/color]
(in order to maximize profit for these two products (Fitness Tracker and Smart Ring))
(1) The cost of the components for each fitness tracker is twice that for each smart ring.
Costs (for Fitness Tracker and Smart Ring) provided;
however, available duration for assembly and available duration for software calibration NOT provided.
So, the number of fitness trackers should the company produce each week to maximize profit for these two products (Fitness Tracker and Smart Ring) can NOT be determined
INSUFFICIENT
(2) The facility has the capacity for 200 hours of assembly time each week and 200 hours of software calibration each week.
[color=#000000]Costs (for Fitness Tracker and Smart Ring) provided; [/color][color=#000000]however, this data not required since profit per Fitness Tracker and per Smart Ring provided in the question prompt.[/color]
[color=#000000]So, to maximize the profit for these two products (Fitness Tracker and Smart Ring); [/color]
[color=#000000]we should maximize 40 f + 30 s ...............(1)[/color]
[color=#000000] (subject to total available duration for assembly (200 hrs) and available duration for software calibration (200hrs).............(2)[/color]
[color=#000000]So, f can be calculated (using (1) and (2))[/color]
[color=#000000]So, the number of Fitness Trackers should the company produce each week to maximize profit for these two products (Fitness Tracker and Smart Ring) can be determined [/color]
SUFFICIENT
(B) is the CORRECT answer
[color=#000000]Let the number of Fitness Tracker = f;[/color]
[color=#000000] and the number of Smart Ring = s[/color]
(in order to maximize profit for these two products (Fitness Tracker and Smart Ring))
(1) The cost of the components for each fitness tracker is twice that for each smart ring.
Costs (for Fitness Tracker and Smart Ring) provided;
however, available duration for assembly and available duration for software calibration NOT provided.
So, the number of fitness trackers should the company produce each week to maximize profit for these two products (Fitness Tracker and Smart Ring) can NOT be determined
INSUFFICIENT
(2) The facility has the capacity for 200 hours of assembly time each week and 200 hours of software calibration each week.
[color=#000000]Costs (for Fitness Tracker and Smart Ring) provided; [/color][color=#000000]however, this data not required since profit per Fitness Tracker and per Smart Ring provided in the question prompt.[/color]
[color=#000000]So, to maximize the profit for these two products (Fitness Tracker and Smart Ring); [/color]
[color=#000000]we should maximize 40 f + 30 s ...............(1)[/color]
[color=#000000] (subject to total available duration for assembly (200 hrs) and available duration for software calibration (200hrs).............(2)[/color]
[color=#000000]So, f can be calculated (using (1) and (2))[/color]
[color=#000000]So, the number of Fitness Trackers should the company produce each week to maximize profit for these two products (Fitness Tracker and Smart Ring) can be determined [/color]
SUFFICIENT
(B) is the CORRECT answer
