Find the maximum value of the objective function f(x, y) = x − y + 1, subject to the constraints x ≥ 0, − x + y ≥ 0, and y ≤ 2. −1
0
1
2

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

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).