Write one or two sentences to describe the cost function for the wichita factory. (5 points)

write the piecewise function for the cost per unit for production of units in the wichita factory. that is, state the function , where is the number of units produced. (10 points)

what is the cost per unit for 35,000 units? (5 points)

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? (5 points)

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. (10 points)

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.

1)The cost of producing 25,000 units is $1. From 25,001 units to 35,000 units the cost lowers to $0.80.

2)

3) The cost is $0.80

4) The company should calculate the marginal cost and make adjustments

5) ___ The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.

Step-by-step explanation:

1) The cost for the Wichita Factory is given by the graph of this piecewise function.

The cost of producing 25,000 units is $1. From 25,001 units to 35,000 units the cost lowers to $0.80.

2)

Where x, the Domain is the units and the Range is the cost per unit.

3) Since the cost per unit for 35,000 units fits for the 2nd situation.

The cost is $0.80

4) The company would calculate the marginal cost then know it and adjust its price and to a viable product, and maximize its production.

5)

___ The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.

Since there are no additional costs at longer hours, this is one of the reasons why the cost decreases at productions higher than 25,000 units.