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 $3/unit of product A and $5/unit of product B. To manufacture a unit of product A requires 11 min on machine I and 7 min on machine II. To manufacture a unit of product B requires 19 min on machine I and 11 min on machine II. There are 5 hr of machine time available on machine 1 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 companies profit?

product A on machine 1 would make 27 units (rounded down) 81 dollars profit.

product A on machine 2 would make 25 units (rounded down) 75 dollars profit.

product b on machine 1 would make 15 units (rounded down) 75 dollars profit.

product b on machine 2 would make 16 units (rounded down) 80 dollars profit.

Step-by-step explanation:

a1 refers to product a on machine 1

a2 refers to product a on machine 2

same rule applies for product b 1 and 2

i would you but i don't under stand the qustion

step-by-step explanation:

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).