Anika sells homemade loaves of bread at a food festival in Winnipeg. The cost 𝐶C (in dollars) to produce 𝑥x units is given by C = 0.84x + 29. She sells them for $2 each

Question

Anika sells homemade loaves of bread at a food festival in town.The cost  (in dollars) to produce  units is given by

C= 0.84x + 29

She sells them for $2 each.

a) Find the break-even quantity of loaves of bread.

b) Write the equation for the profit in terms of . Simplify your answer.

c) How many loaves of bread must Anika produce and sell to make a profit of $145?

Answer 1

a) Revenue, R(x) = 2x

Break even when R(x)=C(x)

2x = 0.84x+29

x = 29/1.16 = 25

b) Profit, P(x) = R(x)-C(x) = 1.16x-29

c) 1.16x-29 = 145

1.16x=174

x = 174/1.16 = 150 loaves