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 extremely uncertain. Forecasts are for expected sales of 60,000 dolls with a standard deviation of 15,000. The normal probability distribution 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 a formula that relates 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 (60,000 units)? $ (b) Modeling demand as a normal random variable with 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? (Use at least 1,000 trials. Round your answer to the nearest integer.) (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. (Round your answers to the nearest integer.) What is the mean profit associated with 50,000 units? What is the mean profit associated with 70,000 units? (d) In addition to mean profit, what other factors should FTC consider in determining a production quantity? (Select all that apply.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
100%
5
In preparing for the upcoming holiday season, Fresh Toy Company (FTC) designed 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 extremely
uncertain. Forecasts are for expected sales of 60,000 dolls with a standard deviation of 15,000. The normal probability distribution 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 a formula that relates 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 (60,000 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 production quantity of
60,000 units.
What is the estimate of the average profit associated with the production quantity of 60,000 dolls? (Use at least 1,000 trials. Round your answer to the nearest integer.)
(c) Before making a final decision on the production quantity, management wants an analysis of a more aggressive 70,000-unit production quantity and
50,000-unit production quantity. Run your simulation with these two production quantities. (Round your answers to the nearest integer.)
What is the mean profit associated with 50,000 units?
What is the mean profit associated with 70,000 units?
(d) In addition to mean profit, what other factors should FTC consider in determining a production quantity? (Select all that apply.)
O probability of a loss
O gut feeling
stock market
O probability of a shortage
Oprofit standard deviation
SHOW WORK FOR (a), (b), and (c) ON EXCEL SPREADSHEET.
more conservative
Transcribed Image Text:5 In preparing for the upcoming holiday season, Fresh Toy Company (FTC) designed 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 extremely uncertain. Forecasts are for expected sales of 60,000 dolls with a standard deviation of 15,000. The normal probability distribution 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 a formula that relates 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 (60,000 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 production quantity of 60,000 units. What is the estimate of the average profit associated with the production quantity of 60,000 dolls? (Use at least 1,000 trials. Round your answer to the nearest integer.) (c) Before making a final decision on the production quantity, management wants an analysis of a more aggressive 70,000-unit production quantity and 50,000-unit production quantity. Run your simulation with these two production quantities. (Round your answers to the nearest integer.) What is the mean profit associated with 50,000 units? What is the mean profit associated with 70,000 units? (d) In addition to mean profit, what other factors should FTC consider in determining a production quantity? (Select all that apply.) O probability of a loss O gut feeling stock market O probability of a shortage Oprofit standard deviation SHOW WORK FOR (a), (b), and (c) ON EXCEL SPREADSHEET. more conservative
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 10 images

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON