Question

Problem 12-11 (Algorithmic)

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 $150,000. The variable cost, which includes material, labor, and shipping costs, is $39 per doll. During the holiday selling season, FTC will sell the dolls for $49 each. If FTC overproduces the dolls, the excess dolls will be sold in January through a distributor who has agreed to pay FTC $9 per doll. Demand for new toys during the holiday selling season is extremely uncertain. Forecasts are for expected sales of 80,000 dolls with a standard deviation of 20,000. The normal probability distribution is assumed to be a good description of the demand. FTC has tentatively decided to produce 80,000 units (the same as average demand), but it wants to conduct an analysis regarding this production quantity before finalizing the decision.

1. Create a what-if spreadsheet model using a formula 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 corresponding to average demand (80,000 units)?
   
   $  
   
2. Modeling demand as a normal random variable with a mean of 80,000 and a standard deviation of 20,000, simulate the sales of the Dougie doll using a production quantity of 80,000 units. What is the estimate of the average profit associated with the production quantity of 80,000 dolls? Round your answer to the nearest dollar.
   
   $  
   
   How does this compare to the profit corresponding to the average demand (as computed in part (a))?
   
   Average profit is less than  the profit corresponding to average demand.
   
3. Before making a final decision on the production quantity, management wants an analysis of a more aggressive 90,000-unit production quantity and a more conservative 70,000-unit production quantity. Run your simulation with these two production quantities. What is the mean profit associated with each? Round your answers to the nearest dollar.
   
   70,000-unit production quantity: $  
   
   90,000-unit production quantity: $  
   
4. In addition to mean profit, what other factors should FTC consider in determining a production quantity?
   
   
   
   
   Compare the three production quantities (70,000, 80,000, and 90,000) using all these factors. What trade-offs occur? Round your answers to 3 decimal places.
   
   70,000 units:
   
   80,000 units:
   
   90,000 units:
   
   What is your recommendation?

Answer 1

I have to create an excel sheet but that option is not available here. The funda is simple.

We have to find the profit earned for different quantities of dolls sold. The Profit = Total Revenue Earned - Total Cost Incurred. The Total Revenue = Production * Selling Price Per Doll and the Total Cost = Fixed Cost (i.e $150,00, irrespective of the production quantities will not change) + Variable Cost (i,e, $39 * Production Units).

This is what is needed and will cover all the parts of the question asked.