The demand function for a new product is p(x) = 4x + 42.5, where x is the quantity sold in thousands and p is the price in dollars. The company that manufactures the product is planning to buy a new machine for the plant. There are three different types of machine. The cost function for each machine is shown. Machine A: C(x) = 4.1x + 92.16 Machine B: C(x) = 17.9x + 19.36 Machine C: C(x) = 8.8x + 55.4 Investigate the break-even quantities for each machine. Which machine would you recommend to the company? Hint: For each machine, find the profit that breaks even. Profit Demand[p(x)] * quantity [x] - Cost [C(x)] = 0 to break even

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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answer the question in a grade 11 function matter 

The demand function for a new product is p(x) = 4x + 42.5, where x is
the quantity sold in thousands and p is the price in dollars. The company that
manufactures the product is planning to buy a new machine for the plant.
There are three different types of machine. The cost function for each
machine is shown.
Machine A: C(x) = 4.1x + 92.16
Machine B: C(x) = 17.9x + 19.36
Machine C: C(x) = 8.8x + 55.4
Investigate the break-even quantities for each machine. Which machine
would you recommend to the company?
Hint: For each machine, find the profit that breaks even.
Profit Demand[p(x)] * quantity [x] - Cost [C(x)] = 0 to break even
Transcribed Image Text:The demand function for a new product is p(x) = 4x + 42.5, where x is the quantity sold in thousands and p is the price in dollars. The company that manufactures the product is planning to buy a new machine for the plant. There are three different types of machine. The cost function for each machine is shown. Machine A: C(x) = 4.1x + 92.16 Machine B: C(x) = 17.9x + 19.36 Machine C: C(x) = 8.8x + 55.4 Investigate the break-even quantities for each machine. Which machine would you recommend to the company? Hint: For each machine, find the profit that breaks even. Profit Demand[p(x)] * quantity [x] - Cost [C(x)] = 0 to break even
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