Use the method of corners to solve the linear programming problem. Soundex produces x Model A radios and y Model B radios. Model A requires 15 min of work on Assembly Line I and 10 min of work on Assembly Line II. Model B requires 10 min of work on Assembly Line I and 12 min of work on Assembly Line II. At most, 25 labor-hours of assembly time on Line I and 22 labor-hours of assembly time on Line II are available each day. It is anticipated that Soundex will realize a profit of $11 on model A and $15 on model B. How many satellite radios of each model should be produced each day in order to maximize Soundex's profit? What is the maximum profit (in dollars)? $

Formulate a linear programming problem that can be used to solve the following question. A company has three plants that produce three different sizes of their product. The North plant can produce 2000 items in the small size, 2000 in the medium size, and 1000 in the large size. The Center plant can produce 1000 items in the small size, 2000 in the medium size, and 2000 in the large size. The South plant can produce 1000 items in the small size, 1000 in the medium size, and 1000 in the large size. The company needs to produce at least 8000 of the small items, 9000 of the medium items, and 7000 of the large items on a given day. The cost of producing the small item is $3, the medium item $5, and the large item $4. Find the number of items each plant should produce in order to minimize the cost. Let X₁, X₂, and x3 be the number of small, medium, and large items produced by the North Plant, respectively. Let Y₁, 2, and y3 be the number of small, medium, and large items produced by the…

Formulate but do not solve the following exercise as a linear programming problem.A division of the Winston Furniture Company manufactures x dining tables and y chairs. Each table requires 40 board feet of wood and 2 labor-hours. Each chair requires 16 board feet of wood and 4 labor-hours. In a certain week, the company has 2800 board feet of wood available and 560 labor-hours.If the profit for each table is $50 and the profit for each chair is $18, how many tables and chairs should Winston manufacture to maximize its profits P in dollars? Maximize      P  =             subject to the constraints board feet             labor-hours                     x ≥ 0         y ≥ 0

Use Excel to solve the linear programming problem.At one of its factories, a manufacturer of televisions makes one or more of four models of HD units (without cases): a 20-in. LCD, a 42-in. LCD, a 42-in. plasma, and a 50-in. plasma. The assembly and testing time requirements for each model are shown in the table, together with the maximum amounts of time available per week for assembly and testing. In addition to these constraints, the supplier of cases indicated that it would supply no more than 290 cases per week and that of these, no more than 40 could be for the 20-in. LCD model.Use the profit for each television shown in the table to find the number of completed models of each type that should be produced to obtain the maximum profit for the week. Find the maximum profit. 20-in. LCD        sets 42-in. LCD        sets 42-in. plasma        sets 50-in. plasma        sets profit     $     20-in.LCD 42-in.LCD 42-in.Plasma 50-in.Plasma TotalAvailable Assembly  time…