Answer:
C = 75 + 0.17x and R = 2x
2x - (75 + 0.17x) > 0
x ≥ 41
Step-by-step explanation:
The cost to make the cupcakes is a fixed $75 plus $0.17 per cupcakes made and the selling price of each cupcake is $2.00.
Part A: Now, the equation for the cost, C, for making x cupcakes is
C = 75 + 0.17x ......... (1)
Again the equation for the revenue, R, from selling x cupcakes is
R = 2x ............ (2)
Part B: So, the inequality that could be solved to find the number of cupcakes, x, that must be made and sold to make a profit is
R - C > 0
2x - (75 + 0.17x) > 0 ......... (3)
Part C: Solving inequality (3) we get
(2 - 0.17)x > 75
⇒ x > 40.98
⇒ x ≥ 41 {Since, x can not be a fraction}
(Answer)
