Alocal civic group is selling t-shirts to raise funds for relay to life. they plan to sell 2500 t-shirts for $10. they consider raising the t-shirt price in order to earn more profit. for each $1 increase, they will sell 100 fewer t-shirts. let x represent the number of $1 increases. a. write a function, write a function, c(x), to represent the cost of one t-shirt based on the number of increases. b. write a function, t(x), to represent the number of t-shirts sold based on the number of increases. c. write a revenue function, r(x), for the t-shirt sell that could be used to maximize

a. Let us say that c(x) is the cost of one t shirt based on the number of increases therefore:

c = 10 + x

b. Say that t(x) is the number of t shirts sold based on the number of increases so:

 t = 2500 – 100 x

b. The revenue is simply the product:

r(x) = (10 + x) (2500 – 100 x)

Combining:

r(x) = 25000 – 1000 x + 2500 x – 100 x^2

r(x) = 25000 + 1500 x – 100 x^2

Taking the 1st derivative and setting dr / dx = 0 to get the maxima:

dr / dx = 1500 – 200 x

1500 = 200 x

x = 7.5

t = 2500 – 100 x = 2500 – 100 (7.5) = 1750

Hence 1750 shirts should be sold.

c. (0.6,-1.4)

step-by-step explanation:

hope this

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: