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 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…

Just make the linear programming model of the next exercise: A company manufactures and sells two lamp models L1 and L2. For its manufacture, a manual work of 30 minutes is needed for the L1 model and 45 minutes for the L2, and a machine work of 25 minutes for L1 and 15 minutes for L2. 150 hours per month are available for manual work and 120 hours per month for the machine. Knowing that profit per unit is $150 and $100 for L1 and L2 respectively, plan production to maximize profit. Please be as clear as possible and show all the steps. Thank you very much