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?
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Given:
Bakery charges 15 per Rs for first 100 cupcakes
Bakery charges 13 per Rs for next 101-150 cupcakes
After 150 cakes bakery charges 10 Rs per cupcakes.
To Find:
Price of 250 cupcakes.
Solution:
let f(x) be price of cupcakes, where x0.
f(x) = { 15x ;
15x +13(x-100) ;
15x + 650 + 10( x-150) ; }
Now, For 250 cupcakes i.e. x = 250
f(x) = 15(250) + 650 + 10(250-150)
f(x) = 3750 + 650 + 1000
f(x) = 5400
Hence, cost of 250 cupcakes is 5400 Rupees.
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