A manufacturer wants to maximize profits by making 2 products: toy cars and princess castles. A toy car requires 5 hours for processing, 3 hours for assembling and 4 hours for packaging. A princess castle requires 2 hours of processing, 12 hours of assembling and 8 hours of packaging. The plant has 40 hours available for processing, 69 for assembling, and 48 for packaging. The profit margins for a toy car is $7 and for a princess castle is $21. A) write down the LP for this problem B) make a spreadsheet model for this problem and solve it using solver. What is the optimal solution? C) If you are able to increase the hours available for processing, assembling, or packaging at no cost, which one do you chose and why? D) due to new laws, the plant only has 30 hours available for processing. How will this affect the profits