A company makes four types of gourmet chocolate bars. Chocolate Bar I contains 5 grams...

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A company makes four types of gourmet chocolate bars.Chocolate Bar I contains 5 grams of nuts, 5 grams of biscuit, 10grams of caramel, and 100 grams of chocolate, and sells for $5.40.Chocolate Bar II contains 10 grams of nuts, 10 grams of biscuit, 10grams of caramel, and 90 grams of chocolate and sells for $6.25.Chocolate Bar III contains no nuts, 10 grams of biscuit, 10 gramsof caramel, and 100 grams of chocolate and sells for $5.25.Chocolate Bar IV contains 20 grams of nuts, no biscuit, 10 grams ofcaramel, and 90 grams of chocolate and sells for $7.00. Theingredient costs are $0.15 per gram of nuts, $0.025 per gram ofbiscuit, $0.02 per gram of caramel, and $0.015 per gram ofchocolate. The company has supplier agreements that force them toorder at least 50,000 grams of each ingredient per week (nuts,biscuit, caramel, and chocolate). However, due to the space intheir warehouse and the expense of holding too much inventory, thecompany cannot hold more than 100,000 grams of nuts; 75,000 gramsof biscuits; 85,000 grams of caramel; and 500,000 grams ofchocolate per week. How many chocolate bars of each type should thecompany produce each week in order to maximize its weeklyprofit?

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3.7 Ratings (460 Votes)

Let be thenumber of chocolate bars of type I II III and IVrespectivelyAmount of nuts neededAmount of biscuits neededAmount of caramel neededAmount of chocolate neededTherefore cost price of nutsCost price of biscuitsCost price of caramelCost price of chocolateTotal costTotal saleTherefore profitWe want to maximize the objective See Answer

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