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1. Factory in Wichita's factory is graphed as a piecewise function over the domain [0, 35,000].
a. Write one or two sentences to describe the cost function for the Wichita factory.
b. Write the piecewise function for the cost per units in the Wichita factory. State the function C(x), where x is the number of units produced.
c. What is the cost per unit for 35,000 units?
d. According to the graph, if only one unit was produced, the cost per unit would be $1.00. In reality, the company would not call in its worker and start up the equipment to produce one unit. What safeguard do you think that many manufacturers use to avoid this type of problem?
e. Of the following three statements, choose the best option and write a viable argument showing how it is reflected by the Cost Function for Wichita's factory.
____ The electricity contract with the utility company is structured so that higher daily energy usage is charged at a lower rate.
____ The plant's production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.
_____Overtime wages were required to produce at levels above 25,000 units.
