$($c$)$ Before making a final decision on the production quantity, management wants an analysis of a more aggressive $70,000-$unit production quantity and a more

conservative $50,000-$unit production quantity. Run your simulation with these two production quantities. What is the average profit associated with each?

Round your answer in whole dollar.

When ordering $50,000$ units, the average profit is approximately $

When ordering $70,000$ units, the average profit is approximately $

$($d$)$ Besides average profit, what other factors should FTC consider in determining a production quantity? Compare the four production quantities ;

$60,000$ ; and $70,000)$ using all these factors. What trade$-$offs occur?

If required, round Probability of a Loss to three decimal places and Probability of a Shortage to two decimal places. Round your answer in whole dollar.$($All answers were generated using $1,000$ trials and native Excel functionality.$)$

In preparing for the upcoming holiday season, Fresh Toy Company $($FTC$)$ designed a new doll called The Dougie that teaches children how to dance.

The fixed cost to produce the doll is $$100,000.$ The variable cost, which includes material, labor, and shipping costs, is $$34$ per doll. During the holiday

selling season, FTC will sell the dolls for $$42$ each. If FTC overproduces the dolls, the excess dolls will be sold in January through a distributor who has

agreed to pay FTC $$10$ per doll. Demand for new toys during the holiday selling season is uncertain. The normal probability distribution with an

average of $60,000$ dolls and a standard deviation of $15,000$ is assumed to be a good description of the demand. FTC has tentatively decided to

produce $60,000$ units $($the same as average demand$),$ but it wants to conduct an analysis regarding this production quantity before finalizing the

decision.

$($a$)$ Create a what$-$if spreadsheet model using formulas that relate the values of production quantity, demand, sales, revenue from sales, amount of surplus,

revenue from sales of surplus, total cost, and net profit. What is the profit when demand is equal to its average units$)?$

$

$($b$)$ Modeling demand as a normal random variable with a mean of $60,000$ and a standard deviation of $15,000,$ simulate the sales of The Dougie doll using a

production quantity of $60,000$ units. What is the estimate of the average profit associated with the production quantity of $60,000$ dolls? Round your answer in

whole dollar.

$

How does this compare to the profit corresponding to the average demand $($as computed in part a$)?$

The input in the box below will not be graded, but may be reviewed and considered by your instructor.