A section of output from a software package is shown here. What will happen to t

Question

A section of output from a software package is shown here. What will happen to the solution if the objective function coefficient for variable 1 decreases by 20? a. Nothing. The values of the decision variables, the dual prices, and the objective function will all remain the same. b. The values of the decision variables and the dual prices will remain the same but the value of the objective function will change. c. The same decision variables will be positive, but their values, the objective function value, and the dual prices will change. d. The problem will need to be resolved to find the new optimal solution and dual price. Activities G, P, and R are the immediate predecessors for activity W. If the earliest finish times for the three are 12,15, and 10, then the earliest start time for W a. is 10. b. is 12. c. is 15. d. cannot be determined. The number of units expected to be sold is uniformly distributed between 300 and 500. If r is a random number between 0 and 1, then the proper expression for sales is a. 200(r) b. r+300 c. 300 + 500(r) d. 300 + r(200) Which of the following smoothing constants would make an exponential smoothing forecast equivalent to a naive forecast? a. 0 b. 0.01 c. 0.1 d. 0.5 e. 1.0 A manager uses the following equation to predict monthly receipts: & = 40,000 + 150t. What is the forecast for July if t = 0 in April of this year? a. 40,450 b. 40,600 c. 42,100 d. 42,250 e. 42,400

Explanation / Answer

11. will happen to the solution if the objective function coefficient for variable 1 decreases by 20?

Correct Answer is option b. The value of the objective function will change, but the values of the decision variables and the dual prices will remain the same.

12. correct answer is option c. Earliest start time for W is 15

Because from the three predecessors G,P and R ; the P takes the highest time of 15 Minutes to finish the activity therefore W needs at least 15 Minutes to starts the activity.

13. the number of units to be sold uniformly distributed between 300 and 500. R is the random number between 0 and 1, then the proper expression of sales is

300 + 200* (r)

Correct Answer is option d. 300 + 200 (r)

If r = 0 then sales equal to 300 and if r =1 then sales = 300 + 200 = 500 otherwise it is between the 300 to 500 for others values of r.

14. the smoothing constant = 1 makes an exponential smoothing forecast equivalent to a naive forecast.

So correct answer is option e. 1.0

15. the equation to predict monthly receipt is Yt = 40,000 +150 t

If t=0 in April this year then t= 1 for May, t= 2 for June and t= 3 for July

Therefore Forecast for July we have t = 3 so y3 = 40,000 + 150 * 3 = 40,000 + 450 = 40,450

Correct Answer is option a. 40,450.   

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