1)Form a linear cost function for the following situation. A ski resort charges a snowboard rental fee of $40 plus $3.25 per hour.

C(t)=?t+?

2)Assume that the situation can be expressed as a linear cost function. Find the cost function in this case. Marginalcost: $20; 190 items cost $6000 to produce.

The linear cost function is C(x)=?.

3)Joanne sellssilk-screened T-shirts at community festivals and craft fairs. Her marginal cost to produce oneT-shirt is $2.50. Her total cost to produce 70 T-shirts is $255, and she sells them for $7 each.

a. Find the linear cost function forJoanne's T-shirt production.

b. How manyT-shirts must she produce and sell in order to breakeven?

c. How manyT-shirts must she produce and sell to make a profit of $800

_________The linear cost function is C(x)=?.

4)The manager of a restaurant found that the cost to produce 100 cups of coffee is $10.52, while the cost to produce 500 cups is $47.32. Assume the costC(x) is a linear function ofx, the number of cups produced. Answer parts a through f.

Find a formula forC(x). Choose the correct answer below.

C(x)= ?

5)To produce x units of a religious medal costs

C(x)=15x+16. The revenue is R(x)=23x. Both cost and revenue are in dollars.

a. Find thebreak-even quantity.

b. Find the profit from 470 units.

c. Find the number of units that must be produced for a profit of $80.

_________ units are thebreak-even quantity.

6)A firm produces a product that has the production cost function C(x)=140x+2030 and the revenue function R(x)=175x. No more than 74 units can be sold. Find and analyze thebreak-even quantity, then find the profit function.

Thebreak-even quantity is ? units.

7)Use the formula C=59(F32) for conversion between Fahrenheit and Celsius to convert each temperature.

a.41F to Celsius