The cost of planting seed is usually a function of thenumber of acres sown. The cost of

Chapter 1, Problem 57

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The cost of planting seed is usually a function of thenumber of acres sown. The cost of the equipment is afixed cost because it must be paid regardless of the numberof acres planted. The costs of supplies and labor varywith the number of acres planted and are called variablecosts. Suppose the fixed costs are $10,000 and the variablecosts are $200 per acre. Let C be the total cost, measuredin thousands of dollars, and let x be the number ofacres planted.(a) Find a formula for C as a function of x.(b) Graph C against x.(c) Which feature of the graph represents the fixedcosts? Which represents the variable costs?

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