Operations Management

A manager must decide between two machines. The manager will take into account each machine’s operating costs and initial costs, and its breakdown and repair times. Machine A has a projected average operating time of 130 hours and a projected average repair time of 12 hours. Projected times for machine B are an average operating time of 66 hours and a repair time of 6 hours. What are the projected availabilities of each machine? (Round your answers to 3 decimal places.)

Machine A Availability is?

Machine B Availability is?

Determine the availability for each of these cases:

a.

MTBF = 40 days, average repair time = 4 days. (Round your answer to 2 decimal places.) Availability is? MTBF = 300 hours, average repair time = 8 hours. (Round your answer to 2 decimal places.) Availability is?  Month Sales (000)Units   Feb. 18   Mar. 18   Apr. 14   May. 27   Jun. 16   Jul. 25   Aug. 21 Forecast September sales volume using each of the following: A linear trend equation.(Round your intermediate calculations and final answer to 2 decimal places.)  Yt thousands  Exponential smoothing with a smoothing constant equal to .10, assuming a March forecast of 17(000). (Round your intermediate forecast values and final answer to 2 decimal places)   Forecast thousands  A weighted average using .50 for August, .10 for July, and .40 for June. (Round your answer to 2 decimal places.)   Weighted average thousands   Freight car loadings over an 18-week period at a busy port are as follows:      Week Number Week Number Week Number 1 300 7 365 13 485 2 305 8 395 14 490 3 310 9 425 15 540 4 305 10 420 16 545 5 310 11 450 17 550 6 315 12 480 18 555

a.	Determine a linear trend line for expected freight car loadings. (Round your intermediate calculations and final answers to 2 decimal places.)

y = + t

Use the above trend equation to predict expected loadings for Weeks 20 & 21. (Round your final answers to 2 decimal places.)

The forecasted demand for Week 20 is and for Week 21 is .

The manager intends to install new equipment when the volume exceeds 880 loadings per week. Assuming the current trend continues, in which week (at the earliest) should the loading volume reach that level?

(Use the rounded answers, as required, from any previous part of this problem.  Do not round any other intermediate calculations.  Round your final answer to 2 decimal places.)

  It should reach 880 loadings in Week ??

An analyst must decide between two different forecasting techniques for weekly sales of roller blades: a linear trend equation and the naive approach. The linear trend equation is Ft = 127 + 1.9t, and it was developed using data from periods 1 through 10. Based on data for periods 11 through 20 as shown in the table, which of these two methods has the greater accuracy if MAD and MSE are used? (Round your intermediate calculations and final answers to 2 decimal places.)

t	Units Sold
11	148
12	146
13	151
14	146
15	155
16	150
17	154
18	156
19	162
20	162

MAD (Naive)
MAD (Linear)
MSE (Naive)
MSE (Linear)

The manager of a fashionable restaurant open Wednesday through Saturday says that the restaurant does about 26 percent of its business on Friday night, 29 percent on Saturday night, and 21 percent on Thursday night. What seasonal relatives would describe this situation?(Round your answers to 2 decimal places.)

Wednesday
Thursday
Friday
Saturday

Timely Transport provides local delivery service for a number of downtown and suburban businesses. Delivery charges are based on distance and weight involved for each delivery: 10 cents per pound and 10 cents per mile. Also, there is a $30 handling fee per parcel.

Develop an expression that summarizes delivery charges. (Enter your answers as dollar amounts to 2 decimal places (x1 = weight, x2 = distance).  Omit the "$" sign in your response.)

Y=$? x1 + $ ? x2 + $?

Determine the delivery charge for transporting a 50-pound parcel 20 miles. (Do not round your intermediate calculation. Round your answer to 2 decimal places. Omit the "$" sign in your response.)

y = $?