Use the method of linear programming to solve the following on graph paper. 1. A nutrition...

 

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Use the method of linear programming to solve the following on graph paper. 1. A nutrition center sells health food to mountain-climbing teams. The Trailblazer mix package contains one pound com cereal mixed with four pounds of wheat cereal. The Frontier mix contains two pounds of com cereal and three pounds of wheat cereal. The center has 60 pounds of corn cereal and 120 pounds of wheat cereal available. Each Trailblazer package nets $1.20 in profit and each Frontier package nets $1.80 per package. Determine the maximum profit and how many packages of each type should be made to maximize profit. (5 points) 2. A computer manufacturing firm makes two types of computers, a desktop and a laptop. The production of a desktop computer requires $400 in parts and 40 hours of labor. The production of a laptop computer requires $250 in parts and 30 hours of labor. The firm has $20,000 for parts and 2,160 hours for labor available for production of desktop and laptop computers. If each desktop computer contributes a profit of $320 and each laptop computer contributes a profit of $220, how many of cach type of computer needs to be produced to maximize profit? What is the maximum profit (5 points) 3. A fast-food chain plans to expand by opening several new restaurants. The chain operates two types of restaurants, drive-through and full-service. A drive-through costs $100,000 to construct, requires 5 employees, and has expected annual revenue of $200,000. A full-service restaurant costs $150,000 to construct, requires 15 employees, and has expected annual revenue of $500,000. The chain has $2,400,000 in capital available for expansion. Labor contracts require that they hire no more than 210 employees, and licensing restrictions require that they open no more than 20 new restaurants. How many restaurants of each type should the chain open in order to maximize the expected revenue? What is the maximum expected revenue? (6 points) (Hint: There are three constraints) Use the method of linear programming to solve the following on graph paper. 1. A nutrition center sells health food to mountain-climbing teams. The Trailblazer mix package contains one pound com cereal mixed with four pounds of wheat cereal. The Frontier mix contains two pounds of com cereal and three pounds of wheat cereal. The center has 60 pounds of corn cereal and 120 pounds of wheat cereal available. Each Trailblazer package nets $1.20 in profit and each Frontier package nets $1.80 per package. Determine the maximum profit and how many packages of each type should be made to maximize profit. (5 points) 2. A computer manufacturing firm makes two types of computers, a desktop and a laptop. The production of a desktop computer requires $400 in parts and 40 hours of labor. The production of a laptop computer requires $250 in parts and 30 hours of labor. The firm has $20,000 for parts and 2,160 hours for labor available for production of desktop and laptop computers. If each desktop computer contributes a profit of $320 and each laptop computer contributes a profit of $220, how many of cach type of computer needs to be produced to maximize profit? What is the maximum profit (5 points) 3. A fast-food chain plans to expand by opening several new restaurants. The chain operates two types of restaurants, drive-through and full-service. A drive-through costs $100,000 to construct, requires 5 employees, and has expected annual revenue of $200,000. A full-service restaurant costs $150,000 to construct, requires 15 employees, and has expected annual revenue of $500,000. The chain has $2,400,000 in capital available for expansion. Labor contracts require that they hire no more than 210 employees, and licensing restrictions require that they open no more than 20 new restaurants. How many restaurants of each type should the chain open in order to maximize the expected revenue? What is the maximum expected revenue? (6 points) (Hint: There are three constraints)

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a Let no of Trailblazer mix package should be made bex Let no of Frontier mix pac... View the full answer