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Use the following information to answer Questions 1-6. Kane Manufacturing has a division that produces two models of fireplace grates: model A and model B. To produce each model A grate requires 4lbs. of cast iron and 6min. of labor. To produce each model B grate requires 5lbs. of cast iron and 3min. of labor. The profit for each model A grate is $3.00, and the profit for each model B grate is $2.50. Because of a backlog of orders for model A grates, Kane's manager had decided to produce at least 150 of the model A grates a day. If 1600 Ibs. of cast iron and 20 labor hours are available for the production of fireplace grates per day, how many grates of each model should the division produce to maximize Kane's profit? What is the optimal profit? Write the objective function. Use the equation editor G or upload a picture/scan of your solution. You must show all work and use correct notation in order to receive full credit. If you upload a picture or scan, please be sure that your solution is legible. When uploading an image, be sure to follow the guidelines for Uploading Images in Math 123 G. Write the constraints. Use the equation editor or upload a picture/scan of your solution. You must show all work and use correct notation in order to receive full credit. If you upload a picture or scan, please be sure that your solution is legible. When uploading an image, be sure to follow the guidelines for Use the method of corners to solve. Show work by including the work to find your graph, the graph using an appropriate scale, and the method of corners chart. Label your lines and mark the feasible region with an S. Interpret the solution with context to the application. model A grates and The company should produce model B grates. This will give a maximum profit of $