中国大学MOOC慕课爱课程（1）--期中考试试卷网课刷课
1.(20 points) A start-up company plans to produce a device to translate Mor code to a written message on
a home computer. The president estimates that it would require a $25,000 initial investment. Each unit
costs him $30 to produce and each lls for $80.
a.Draw the break-even curves. (4 points)
b.How many units must be sold in order for the firm to recover its initial investment? (4 points)
清明几号c.What is the total revenue at the break-even volume? (4 points)
d.If the price were incread to $130 each, find the break-even volum
e. (4 points)肺尖癌
e.Suppo that sales are expected to be 100 units in the first year and increa at a rate of 40pecent per year.
How many years will it take to recoup the $25,000 initial investment? (Results into integers) Assume that each unit lls for $80. (4 points)
2.(20 points) The Mr. Meadows Cookie Company can obtain accurate forecasts for 6 months bad on firm
orders. The forecasts and the number of workdays per month are as follows:
Month
Demand Forecast
(in thousands of cookies)
Workdays
1 850 26企业图片
2 1260 24
3 510 20
4 980 18
5 770 22
6 850 23
During a 46-day period when there were 120 workers, the firm produced 1,700,000 cookies. Assume that there are 100 workers employed at the beginning of month 1 and zero starting inventory. The cost of holding cookies C I=$0.10per cookie per month, cost of hiring one worker C H=$100 , and cost of firing one worker C F=$200.
a.Find the minimum constant workforce needed to meet monthly demand. (6 points)
酱爆茄子的做法b.Evaluate the total cost of the plan determined in part(a). (4 points)
团子头c.Determine the zero inventory plan and the total cost of that plan. (10 points)
3.(20 points) Obrvations of the demand for DVD drives at one computer store during the past 8 weeks
were:
收获颇多week 1 2 3 4 5 6 7 8
Demand 90 110 70 89 130 75 96 108
a.Determine the one-step-ahead forecasts made for week 4 through 8 using a three-week moving average.
(6 points)
/doc/d76959816.html,pute the MAD for the forecasts you obtained in parts (a) for week 4 through 8. (4 points)
c.Assume that the forecast for week 1was 100 and α=0.1, compute the one-step-ahead forecast for week 2
through 5 using exponential smoothing. (6 points)
/doc/d76959816.html,pute the MSE for the forecasts you obtained in parts (c) for week 2 through 5. (4 points)
4.(20 points) A local supermarket lls a popular brand of shampoo at a fairly steady rate of 380 bottles per
month. The cost of each bottle to the supermarket is 45 cents, and the cost of placing an order has been estimated at $8.50. Assume that holding costs are bad on a 25 percent annual interest rate. Stock-outs of the shampoo are not allowed.
税务师考试
a.Determine the optimal lot size the supermarket should order and the time between placements of orders
for this product. (5 points)
b.If the procurement lead time is two months, find the reorder point bad on the on-hand inventory. (5
points)
c.If the item lls for $1.0, what is the annual profit (exclusive of overhead and labor costs) from this item?
(5 points)
d.The supplier is willing to charge less per unit for larger orders, assume that for orders of less than 1000
bottles, the cost of each bottle is 45 cents; for orders of 1000 or more, it charges 40 cents per bottle.
Determine the optimal lot size the supermarket should order. (Assume the holding costs are bad on a
25 percent annual interest rate.) (5 points)
5．(20 points) W eiss’s paint store us a (Q,R) inventory system to control its stock level
s. For a particularly popular white latex paint, historical data show that the distribution of monthly demand is approximately normal, with mean 28 and standard deviation 8. Replenishment lead time for this paint is about 14 weeks.
Each can of paint costs the store $6. Although excess demands are back-ordered, the store owner estimates that unfilled demands cost about $10 each in bookkeeping and loss-of-goodwill costs. Fixed costs of replenishment are $15 per order, and holding costs are bad on a 30 percent annual rate of interest. Assume 4 weeks/month and 48 weeks/year.
a.What are the optimal lot sizes and reorder points for this brand of paint? (10 points)
不相负b.What is the optimal safety stock for this paint? (2 points)
c.The store decides that its stock-out cost of $10 may not be very accurate and switches to a rvice level
model. The store decides to t its lot size by the EOQ formula and determines its reorde
r point so that there is no stock-out in 90 percent of the order cycles. Find the resulting (Q,R) values. (8 points)
