SOLUTION: Occasionally, for extra income, I do data entry for local companies. Recently, I was doing data entry for two companies. Between the two companies, I had a total of 6 hours a week

Question 1008709: Occasionally, for extra income, I do data entry for local companies. Recently, I was doing data entry for two companies. Between the two companies, I had a total of 6 hours a week I could spend on these projects. I determined that it costs me $4 per hour for Company A projects and $1 per hour for Company B projects. I don't want to spend more than $12 in working on these projects. If my profit is $1 per hour for Company A projects and $5 per hour for Company B projects, how many hours should I spend on projects for each company to maximize my profit?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Between the two companies, I had a total of 6 hours a week I could spend on these projects. I determined that it costs me $4 per hour for Company A projects and $1 per hour for Company B projects. I don't want to spend more than $12 in working on these projects. If my profit is $1 per hour for Company A projects and $5 per hour for Company B projects, how many hours should I spend on projects for each company to maximize my profit?
----
A >= 0
B >= 0
Hours:: A + B <= 6 hrs
Cost:: 4A + B <= 12 dollars
Profit:: maximize:: P = A + 5B
-----
Graph:: A <= -B + 6
Graph:: A <= (-B/4) + 3
Find the intersection of the two boundary lines::
B = 4 when A = 2
---
Evaluate (0,6),(6,0),(4,2) in the Profit equation to mind the maximum:
(0,6) gives P = $30
(6,0) gives P = $6
(4,2) gives P = $14
---
Ans: 0 hrs on A ; 6 hrs on B
------------
Cheers,
Stan H.
-----------

RELATED QUESTIONS
I am doing a reserach project on car and light truck production where I am comparing... (answered by stanbon)

7. Among companies doing highway or bridge construction, 80% test employees for... (answered by stanbon)

Please help me with this problem; Thank you ahead of time. The following data are the... (answered by mathmate)

Suppose that a marketing firm sends questionnaires to two different companies. Based on... (answered by solver91311)

I do not understand how to calculate this particular probability? The question is: (answered by rfer)

Elmer is organizing a fund raising basketball tournament in their barangay. He plans to... (answered by CPhill)

find the probability that exactly 5 of the 12 companies test for substance abuse How... (answered by ewatrrr)

I need your help again this was on my quiz and i miss it please help ASAP!!!!... (answered by solver91311)

John is comparing the costs for one month's usage of two cell phone companies. Company A... (answered by josgarithmetic)