a) Define the variables b) Write algebraic expression for the objective function c) Write the system of linear inequalities used in solving the problem.

10. Best Brands Appliance Mart is getting ready for its annual Labor Day sale. There are two Best Brands stores, one in midtown Manhattan and another in Amityville. Merchandise is stored in two warehouses, one in Brooklyn and one in Baldwin. From experience in past years, the owners know the big mover during the sale is tablets. The Manhattan store needs 500, while the Amityville store will require 400. Each warehouse has 600 tablets in stock. It costs $1 and $2 to ship a tablet from Brooklyn to Manhattan and to Amityville, and $2 and $4 to ship one from Baldwin to Manhattan and 3 Amityville. What is the best shipping strategy for getting the tablets from the warehouses into the stores to minimize the shipping cost? 11. A video game company makes two types of hockey games at two different manufacturing plants. Plant A can produce 20 Type I games and 10 Type II games per hour. Plant B can produce 30 Type I games and 20 type II games per hour. It costs $70 per hour to operate Plant A and $90 per hour to operate Plant B. The company needs 300 Type I hockey games and 200 Type II hockey games per day. How many hours per day should each plant spend on producing these games in order to meet the company's need and minimize production costs? 12. A small craft shop makes toy stuffed bears and silk flowers wreaths. Each bear requires 3 hours of preparation time, 2 hours of assembly time. And 3 hours of finishing time. Each wreath requires 2 hours of preparation time, 5 hours of assembly time, and 3 hours of finishing time. There are 36 hours of preparation time, 78 hours of assembly time, and 42 hours of finishing time available each week. If each bear earns a profit of $10 and each wreath earns a profit of $8, how many of each should be crafted to maximize the profit? expression for the objective function c) Write the system of linear inequalities used in solving the problem. 10. Best Brands Appliance Mart is getting ready for its annual Labor Day sale. There are two Best Brands stores, one in midtown Manhattan and another in Amityville. Merchandise is stored in two warehouses, one in Brooklyn and one in Baldwin. From experience in past years, the owners know the big mover during the sale is tablets. The Manhattan store needs 500, while the Amityville store will require 400. Each warehouse has 600 tablets in stock. It costs $1 and $2 to ship a tablet from Brooklyn to Manhattan and to Amityville, and $2 and $4 to ship one from Baldwin to Manhattan and 3 Amityville. What is the best shipping strategy for getting the tablets from the warehouses into the stores to minimize the shipping cost? 11. A video game company makes two types of hockey games at two different manufacturing plants. Plant A can produce 20 Type I games and 10 Type II games per hour. Plant B can produce 30 Type I games and 20 type II games per hour. It costs $70 per hour to operate Plant A and $90 per hour to operate Plant B. The company needs 300 Type I hockey games and 200 Type II hockey games per day. How many hours per day should each plant spend on producing these games in order to meet the company's need and minimize production costs? 12. A small craft shop makes toy stuffed bears and silk flowers wreaths. Each bear requires 3 hours of preparation time, 2 hours of assembly time. And 3 hours of finishing time. Each wreath requires 2 hours of preparation time, 5 hours of assembly time, and 3 hours of finishing time. There are 36 hours of preparation time, 78 hours of assembly time, and 42 hours of finishing time available each week. If each bear earns a profit of $10 and each wreath earns a profit of $8, how many of each should be crafted to maximize the profit?