The Good-Nut Company sells dry-roasted nut mixes. Table 2.14 gives the price per bag and the ingredients

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The Good-Nut Company sells dry-roasted nut mixes. Table 2.14 gives the price per bag and the ingredients in a 210g bag of its four best-selling nut mixes, along with current prices of a kilo of each nut type.

Table 2.14 Mixes Cashews Peanuts Brazils Walnuts Almonds Price Cocktail Special 60 60 30 30 30 £2.20 Deluxe Mix 90 60 60 £2.50 Good-Nut Mix 90 60 60 £2.50 Party Special 120 90 £2.50 Price per kilo (£) 7.20 3.75 6.00 8.25 9.50 The Good-Nut Company has the following stocks of bulk nuts (in kilos): 200 (cashews), 100 (brazils), 50 (walnuts), 150 (almonds) and an unlimited supply of peanuts. The Company cannot sell more than 800 bags of Cocktail Special in the current period. Recommend the best product mix to maximise profits. Solve this linear programming problem using Excel’s Solver.

(Answer: maximum profit of £2,170 by selling 800 Cocktail Specials, 433 Deluxe Mix, 1255 Good-Nut and 7 Party Special bags.)

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