A factory has a linear cost function f (x) = ax+b, where b represents fixed costs and a represents the labor and material costs of making one item, both in thousands of dollars. If property taxes (part of the fixed costs) are decreased by $12,000 per year, what effect does this have on the graph of the cost function? a. shifts to the left by 12 units b. shifts to the right by 12 units c. shifts upward by 12 units d. shifts downward by 12 units

Question

Mathematics

Goodwin

2 June, 00:18

A factory has a linear cost function f (x) = ax+b, where b represents fixed costs and a represents the labor and material costs of making one item, both in thousands of dollars. If property taxes (part of the fixed costs) are decreased by $12,000 per year, what effect does this have on the graph of the cost function? a. shifts to the left by 12 units b. shifts to the right by 12 units c. shifts upward by 12 units d. shifts downward by 12 units

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Alannah Holloway · Answer 1

F (x) = ax + b ... b = fixed costs and a = labor and material.

if property taxes (part of fixed cost) is decreased by 12,000 per year, what effect does it have on the graph of the cost function?

ur equation is actually in y = mx + b form (because f (x) is the same as y) ... and the digit in the b position (because fixed cost is b) is the y intercept. So if the y intercept is decreased by 12,000, it shifts downward by 12,000. <===