i would like to get help with step-by-step explanation

1. Suppose a small company is in the business of making golf bags to be sold at a local golf course where state championships are often held. They make 2 types of golf bags, a standard bag and a deluxe bag. The table below gives the information for limitations of materials and labor hours, and also for the profit for each type of bag. The materials and labor hours are the number of hours available per week, and the profit is the profit in 5 per week as well. Units are per Standard Premium Cutting and Leather Leather Sewing Labor (square feet) (square feet) Standard Total available a. What are the decision variables (use NUN!) b. What is the objective function? (make sure to use dimensional analysis to set it up) c. What are the constraints? Make sure to use dimensional analysis to set them up. d. Summarize the linear program in algebraic form. You do not need to include units here, but you should label your constraints. 2. You have just inherited $100,000 from a relative, and you want to invest the money so that you get the maximum annual return you can. You are thinking of putting your money into two types of stock mutual funds. One fund S concentrates in social media companies, and the other fund I concentrates in companies that specialize in infrastructure construction and maintenance. You also are sensitive to risk in investment, so you visited a financial consultant to determine your risk tolerance. You are also worried that since social media isn't a tangible product, you want to limit the number of shares you own in that mutual fund to be less than 1000. The table below summarizes the information you have at hand, per share. Cost (S) per Max shares Expected share annual return (5 per share) m $100,000 1000 *Represents the coefficient for the DV you will use here. a. What are the decision variables (use NUN!) b. What is the objective function? (make sure to use dimensional analysis to set it up) c. What are the constraints? Make sure to use dimensional analysis to set them up.| d. Summarize the linear program in algebraic form. You do not need to include units here, but you should label your constraints. 3. Consider the following linear program Max 1A + 1B s. t. 5A + 3B