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algol [13]
3 years ago
13

The average cost per hour in dollars of producing x riding lawn mowers is given by the following.

Mathematics
1 answer:
olga_2 [115]3 years ago
3 0
Attached you can find the graph obtained with a graphing utility.

I included only the region where the solution is.

I marked with dotted lines the minimum point and used arrows to indicate its components.

a) the minimum average cost is obtained when you produce 9 riding lawn mowers.

You can check it if you use the formula with three values of x: x =8, x = 9 and x = 10.

Answer: 9

That coordinate is indicated with an arrow.

b) The minimum average cost is obtained when you use the formula for the average cost with x = 9:

C(x) = 0.5*(9)^2 + 23(9) - 216 + 2600/x = 320.39

Answer: 320.39
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