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2:8-11 (Pricing and marketing strategy problem) The I. Kruger Paint and Wallpaper Store is a large retail distributor of the Supertrex brand of vinyl wallcov-

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2:8-11 (Pricing and marketing strategy problem) The I. Kruger Paint and Wallpaper Store is a large retail distributor of the Supertrex brand of vinyl wallcov- erings. Kruger will enhance its citywide image in Miami if it can sell more rolls of Supertrex next year than other local stores. It is able to estimate the de- mand function as follows: Number of rolls of Supertrex sold = 20 X Dollars spent on advertising + 6.8 X Dollars spent on in-store displays + 12 x Dollars invested in on-hand wallpaper inventory 65,000 X Percentage markup taken above wholesale cost of a roll The store budgets a total of $17,000 for adver- tising, in-store displays, and on-hand inventory of Supertrex for next year. It decides it must spend at least $3,000 on advertising; in addition, at least 5% of the amount invested in on-hand inventory should be devoted to displays. Markups on Supertrex seen at other local stores range from 20% to 45%. Kru- ger decides that its markup had best be in this range as well. (a) Formulate as an LP problem. (b) Solve the problem. (c) What is the difficulty with the answer? (d) What constraint would you add

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