Question

Help i can't figure this out it's algebra​

Answer 1

Explanation:

A. The optimal decrease in price to gain the maximum profit in sale:

Meaning if you reduce the price by $2.5, you will gain the maximum profit of $2531.25

B. It represents the amount of profit without any change in the current price on the t-shirt.

By shifting and expanding the original equation
`y=-x^(2)\\`

`y = -5(x-2.5)^(2) + 2531.25`

`x = 0 => y = 2500`

C. The solution is as in part B

It represents by reducing the price of each t-shirt, there is an initial increase in profit but eventually it will drop.

Answer 2

Explanation:

Part A:

The maximum point is (2.5, 2531.25). This represents that $2.5 should be decreased from the original price to achieve the most profit from t-shirt sales.

Part B:

The y-intercept is seen to be around (0, 2500). This tells us that the profit made from the original price is $2500.

Part C:

Yes. The point (25, 0) is a solution. It tells us that if we decreased the original price by $25, we would make no/zero profit.