Answer to Question #117799 in Algebra for mike

Question

The cost of each of the components in the production of each size of pizza, and the selling price, is
given in the table below:

Cost of Production(cents) Selling
Price($) Size Base Topping Cooking Labour
Small 32 110 8 200 9.50
Medium 50 175 10 240 11.50
Large 72 250 12 280 13.50
Family 98 345 15 320 17.50

a) Use matrix methods to find the total cost of production for each size of the pizzas. Give your
answers in cents.


b) If Profit = Selling price – Cost of Production, write a matrix equation that will enable you to find
the profit and find the profit, in dollars correct to the nearest cent, made on each size of pizza.

c) use matrix methods and your answer to Q2 Part B Question (C) to find the total profit, in dollars
correct to the nearest cent, made in this shop for the week. (Hint: Convert matrix PA to a 1 × 4
matrix to find the profit.)

Answer 1

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