A Small Producer of Music Boxes Wants to Move to a Larger

question 73

Essay

A small producer of music boxes wants to move to a larger facility.Two alternative facilities have been found.Site 1 has a fixed cost of $500,000 per year,with a variable cost of $25 per unit.Site 2 has a fixed cost of $800,000 per year,but a variable cost of $22 per unit.
a.Write out the equation for total cost for each site.
b.At what volume of output would the two locations have the same total cost?
c.For what range of output would Site 1 be superior?
d.For what range of output would Site 2 be superior?

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Definitions:

Marginal Product

The extra output, or increase in production, that results from adding one more unit of a specific input, while other inputs are kept constant.

Total Product

The total quantity of output produced by a firm over a given period of time.

Average Product

The output per unit of a particular input, calculated by dividing total output by the quantity of inputs.

Labor

Human effort, either physical or mental, used in the production of goods and services.