33. If Farmer George plants no seeds on his farm, he gets no harvest. If he plants 1 bag of seeds, he gets 5 bushels of wheat. If he plants 2 bags, he gets 9 bushels. If he plants 3 bags, he gets 12 bushels. A bag of seeds costs $120, and seeds are his only cost. What is George's total cost curve

Explanation:

# bags of       # bushels   Cost $

seeds

     0                     0                 0

      1                     5              1 × 120 = 120

      2                    9               2 × 120 = 240

      3                   12               3 × 120 = 360

Pair # bags of seeds with cost

# bags of      Cost $

seeds

     0                   0

      1                120

      2               240

      3               360

Since the unit cost is constant, this is a linear function, which has the general form

Where m is the slope (the unit cost) and b is the y-intercep (the value when the number of bags is zero).

Thus the curve is modeled by the function:

Where C(x) is the cost and x is the number of bag of seeds.

To draw the curve, you can use the four points:

See the graph attached.

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