A RSS Clothing manufacturer makes two types of jogging pants, design A and design B. The design A jogging pants sells to the ret
ail stores for 2,500each and the design B jogging pants for 2,100. The cost for manufacturing each design A is 1,750 and the cost of each design B is 1,200. If the manufacturer makes no more than 120 jogging a week and budget no more than 150,000 per week, how many of each type should be made to maximize profit?
1 answer:
Answer:
120 of design B
Step-by-step explanation:
The profit per dollar cost for design A is (2500/1750 -1) ≈ 0.43. For design B, it is (2100/1200 -1) ≈ 0.75. Design B is more profitable and less expensive to make, so its production should be maximized.
For maximum profit, 120 jogging pants of design B should be made each week.
_____
The budget of 150,000 would allow 150,000/1,200 = 125 pants of design B to be made. The production limit of 120 pants does not use the entire budget.
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***NOTE: Please check that you wrote the numbers in the question/answer choices correctly. The answer to this problem doesn't match the answer choice. Thank you!
Remember that the slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
First let's find the slope (m)
The formula to find slope using two points is
In this case...
^^^Plug these numbers into the formula for slope...
-2
^^^This is your slope
Here is what we have so far for the slope intercept formula:
y = -2x + b
Now we must find b
To do that you must plug in a point the line goes through in the x and y of the equation, then solve for b
For this explanation we will use the point (0,4) although you could also do it with point (3, -2) and you should get the same answer
4 = -2(0) + b
4 = 0 + b
4 = b
NOTE: For this particular problem you wouldn't technically need to go through the steps above to find b. In this case one of the points given, (0, 4) is already the y-intercept of the line (b)
y = -2x + 4
Hope this helped!
~Just a girl in love with Shawn Mendes
