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27 Dec 2024, 11:32
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Let Fitness trackers be F and Smart Rings be R.
Profit = 40F + 30R
Statement 1 -
This gives information about the production cost but tells nothing about the assembling and software calibration hours on which the profits depends.
We need to know the hour constraints to know how many fitness trackers to produce to maximize profits.
Therefore, NOT SUFFICIENT.
Statement 2 -
Assembly time -
4F + 4R <= 200
F + R <= 50
Software calibration time -
6F + 2R <= 200
3F + R <= 100
Profit = 40F + 30R
We have 2 equations, 2 variables, we can easily solve and get the answer for F and put it in our profit equation to maximise.
Therefore, SUFFICIENT.
FINAL ANSWER - Option B
Profit = 40F + 30R
Statement 1 -
This gives information about the production cost but tells nothing about the assembling and software calibration hours on which the profits depends.
We need to know the hour constraints to know how many fitness trackers to produce to maximize profits.
Therefore, NOT SUFFICIENT.
Statement 2 -
Assembly time -
4F + 4R <= 200
F + R <= 50
Software calibration time -
6F + 2R <= 200
3F + R <= 100
Profit = 40F + 30R
We have 2 equations, 2 variables, we can easily solve and get the answer for F and put it in our profit equation to maximise.
Therefore, SUFFICIENT.
FINAL ANSWER - Option B
Bunuel
27 Dec 2024, 11:36
Kudos
Bookmarks
Let x: Number of fitness trackers produced.
and, y: Number of smart rings produced.
And we have to;
Lets look at the statements;
(1) The cost of the components for each fitness tracker is twice that for each smart ring.
Since we are already provided information about the profit on each product, this information is not useful.
Statement 1 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
Let's note down the constrains;
6x+2y≤200
Let's simplify the constraints;
x+y≤50 and 3x+y≤100
Now either we can plot a graph or fill in individual values.
Let x=25 and y=25
This will fulfill all our constraints and provide us with maximum profit values.
Statement 2 is sufficient
Answer is B
and, y: Number of smart rings produced.
And we have to;
- Maximize profit:
Profit=40x+30y
Lets look at the statements;
(1) The cost of the components for each fitness tracker is twice that for each smart ring.
Since we are already provided information about the profit on each product, this information is not useful.
Statement 1 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
Let's note down the constrains;
- Each fitness tracker and smart ring requires 4 hours of assembly, with a total capacity of 200 hours:
- Each fitness tracker requires 6 hours, and each smart ring requires 2 hours of software calibration time, with a total capacity of 200 hours:
6x+2y≤200
Let's simplify the constraints;
x+y≤50 and 3x+y≤100
Now either we can plot a graph or fill in individual values.
Let x=25 and y=25
This will fulfill all our constraints and provide us with maximum profit values.
Statement 2 is sufficient
Answer is B
27 Dec 2024, 11:37
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?
(1) The cost of the components for each fitness tracker is twice that for each smart ring.
We already have info on profit so we don't need to know costs NS
(2) The facility has the capacity for 200 hours of assembly time each week and 200 hours of software calibration each week.
We can make two equations with 2 variables and solve for x and y
4x+4y=200
6x+2y=200
Suff
Ans B
(1) The cost of the components for each fitness tracker is twice that for each smart ring.
We already have info on profit so we don't need to know costs NS
(2) The facility has the capacity for 200 hours of assembly time each week and 200 hours of software calibration each week.
We can make two equations with 2 variables and solve for x and y
4x+4y=200
6x+2y=200
Suff
Ans B
