Given the fact that the contrapositive statement is true then the conditional statement must also be true

a)167 pies

b) 217 pies

Step-by-step explanation:

Breakeven is the point at which cost and income are equal

Let the number of pies be x.

Cost of making x pies = 4x

He also has monthly expenses of $1000 for the shop

Total cost = 4x + 1000

He plans on charging $10 per pie

Revenue for x pies = 10x

Profit = revenue for x pies- cost of making x pies

To break even

cost of making x pies+ monthly expenses = revenue

4x + 1000= 10x

6x = 1000

x = 166.7

Approximately 167 pies

To make profit of $500

Revenue at break even point = 167×10 = $1670

Revenue + profit = 1670+500=$2170

To get this new revenue at the price of $10 per pie

Number of pies to be sold = 2170/10

= 217 pies

He needs to sell 217 pies to make $500 profit