Question: Q11-016 The LP model and LINDO output represent a problem whose solution will tell a specialty retailer how many of four different styles of umbrellas

Q11-016 The LP model and LINDO output represent a problem whose solution will tell a specialty retailer how many of four different styles of umbrellas to stock in order to maximize profit. It is assumed that every one stocked will be sold. The variables measure the number of women's (X1), golf (X2), men's (X3), and folding umbrellas (X4), respectively. The constraints measure storage space in units, special display racks, demand, and a marketing restriction, respectively. MAX 4 XI + 6 X2 +5 X3 + 3.5 X4 SUBJECT TO 2) 2 X1 + 3 X2 + 3 X3 + X4 = 12 END TIVE FUNCTION VALUE 318.00000 X VARIABLE VALUE 12.000000 .000000 12.000000 60.000000 REDUCED COST .000000 500000 .000000 ROW SLACK OR SURPLUS .000000 3) 36.000000 4) .000000 5) .000000 DUAL PRICE 2.000000 .000000 1.500.000 -2.500000 RANGES IN WHICH THE BASIS IS UNCHANGED. OBJ. COEFFICIENT RANGES VARIABLE CURRENT COEFFICIENT ALLOWABLE INCREASE ALLOWABLE DECREASE XI 4.000000 1.000000 2.500000 X2 6.000000 500000 INFINITY X3 5.000000 2.500000 500000 X4 3.500000 INFINITY 500000 RIGHTHAND SIDE RANGES ROW CURRENT RHS ALLOWABLE INCREASE 2 3 120.000000 54.000000 72.000000 12.000000 4 ALLOWABLE DECREASE 24.000000 36.000.000 48.000000 12.000000 48.000000 INFINITY 24.000000 12.000000 5 Use the output to answer the questions: QII How many women's umbrellas should be stocked? a. 12 b.0 c. 18 d. 60 QI2 How many racks left unused? a. 18 b. 36 c. 12 d. 60 013 To what value can the profit on women's umbrellas increase before the solution would change? b.3 c.4 d. 5 014 By how much can the profit on golf umbrellas increase before the solution would change? a 0.8 b. 3.0 c.0.5 d. 1.5 015 By how much can the amount of space increase before there is a change in the dual price?? a. 48 b. 24 c.120 d. 4 Q16 You are offered an advertisement that should increase the demand constraint from 72 to 85 for a total cost of $20. Would you yes or no? a. Yes b. No

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