Question: 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 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?

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