Joanne sells silk-screened t-shirts at community festivals and craft fairs. her marginal cost to produce one t-shirt is $ 5.50. her total cost to produce 70 t-shirts is $ 435 comma and she sells them for $9 each.

a. find the linear cost function for joanne's t-shirt production.

b. how many t-shirts must she produce and sell in order to break even?

c. how many t-shirts must she produce and sell to make a profit of $800 ?

Question

Julio Summers

Mathematics

15 February, 07:05

Joanne sells silk-screened t-shirts at community festivals and craft fairs. her marginal cost to produce one t-shirt is $ 5.50. her total cost to produce 70 t-shirts is $ 435 comma and she sells them for $9 each.

a. find the linear cost function for joanne's t-shirt production.

b. how many t-shirts must she produce and sell in order to break even?

c. how many t-shirts must she produce and sell to make a profit of $800 ?

+4

Answers (1)

Know the Answer?

Aubrie Livingston · Answer 1

A-y=4.50x, 4.50 is the slope because for each shirt she sells that is how much she makes and she doesn't have an original value for a y-intercept.

B - 1, each tee-shirt she makes she will profit 4.50 for a single so she makes money after the first one.

C-129, because you need to find how much each tee-shirt costs in the bunch of 70 and divide it from 800 and round to 129.