finite Math 200 Need help with problems 1 through 4 please

1. [-/3 Points] DETAILS TANFIN12 3.2.001. MY NOTES PRACTICE ANOTHER Formulate but do not solve the following exercise as a linear programming problem. A company manufactures x units of Product A and y units of Product B, on two machines, I and II. It has been determined that the company will realize a profit of $2 on each unit of Product A and $3 on each unit of Product B. To manufacture a unit of Product A requires 6 min on Machine | and 5 min on Machine II. To manufacture a unit of Product B requires 9 min on Machine I and 4 min on Machine II. There are 357 min available on Machine I and 217 min available on Machine II in each work shift. How many units of a product should be produced in each shift to maximize the company's profit P in dollars? Maximize P = subject to the constraints Machine I Machine II x20 y20 Need Help? Read It 2. [-/3 Points] DETAILS TANFIN12 3.2.003. MY NOTES PRACTICE ANOTHER Formulate but do not solve the following exercise as a linear programming problem. Kane Manufacturing has a division that produces two models of fireplace grates, x units of model A and y units of model B. To produce each model A requires 3 lb of cast iron and 8 min of labor. To produce each model B grate requires 4 lb of cast iron and 5 min of labor. The profit for each model A grate is $2.50, and the profit for each model B grate is $2.00. If 1600 lb of cast iron and 1200 min of labor are available for the production of grates per day, how many grates of each model should the division produce per day to maximize Kane's profits P in dollars? Maximize P = subject to the constraints cast iron labor x20 y 20 Need Help? Read It 3. [-/3 Points] DETAILS TANFIN12 3.2.006. MY NOTES PRACTICE ANOTHER 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 4 labor-hours. Each chair requires 16 board feet of wood and 3 labor-hours. In a certain week, the company has 3000 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 PE subject to the constraints board feet labor-hours x20 y20 Need Help? Read It 4. [-/3 Points] DETAILS TANFIN12 3.2.008. MY NOTES PRACTICE ANOTHER Formulate but do not solve the following exercise as a linear programming problem. A financier plans to invest up to $600,000 in two projects. Project A yields a return of 8% on the investment of x dollars, whereas Project B yields a return of 16% on the investment of y dollars. Because the investment in Project B is riskier than the investment in Project A, the financier has decided that the investment in Project B should not exceed 40% of the total investment. How much should she invest in each project to maximize the return on her investment P in dollars? Maximize subject to the constraints amount available for investment allocation of funds x20 y20 Need Help? Read It Watch It