Question

You plan to sell cupcakes to raise funds. A bakery charges you Php. 15.00 for the first 100 cupcakes. If you purchase 101-150 cupcakes, the bakery will lower the price to Php. 13.00 per cupcake. But if you purchase more than 150 cupcakes, the price will decrease to Php. 10.00 per cupcake. What is the charge if you purchase 250 cupcakes?

Answer 1

Answer:

P(x) = (15)x   when    x < 100 or x = 100

P(x) = 15(100) + (x - 100)13.5   when  100 < x < 150  or x = 150

p(x) = 15(100) + 13.5(50) + (x - 150)10   when  150 < x

Step-by-step explanation:

Let P(x) denote the price function

x denote the quantity of cupcakes

Then

Price function for the given situation in the question is given as piece wise function

P(x) = (15)x   when    x < 100 or x = 100

P(x) = 15(100) + (x - 100)13.5   when  100 < x < 150  or x = 150

p(x) = 15(100) + 13.5(50) + (x - 150)10   when  150 < x

Step-by-step explanation: