Please give explain how you got the answer, thanks A company manufactures two pr
ID: 3120383 • Letter: P
Question
Please give explain how you got the answer, thanks
A company manufactures two products, A and B, on two machines, I and II. It has been determined that the company will realize a profit of $7/unit of Product A and a profit of $8/unit of Product B. To manufacture 1 unit of Product A requires 6 min on Machine I and 5 min on Machine II. To manufacture 1 unit of Product 8 requires 9 min on Machine I and 4 min on Machine II. There are 5 hr of machine time available on Machine I and 3 hr of machine time available on Machine II in each work shift. How many units of each product should be produced in each shift to maximize the company's profit? Product A units Product B units What is the largest profit the company can realize? $ Is there any time left unused on the machines? (If so, give the number of minutes remaining. If not, enter 0.) Machine I min Machine II minExplanation / Answer
Machine I can produce an A in 6 minutes or a B in 9 minutes.
An A is worth $7, so you'd earn 1.166 per minute producing As and $8/9 or 0.888 per minute producing Bs.
Since there is no information on how many of each you can actually sell, Machine I should only produce As to maximize profits on this machine. In 5 hours (300 minutes) you could produce 300/6 or 50 units per shift.
Machine II can produce an A in 5 minutes for 1.4 per minute producing As.
It can produce a B in 4 minutes or $8/4 min or 2 per minute profit.
Machine II should only produce Bs, producing one in 4 minute, so 45 in a 3 hour (180 min) shift.
So, produce 50 As and 45 Bs per shift.