I left the upper part out of the first question I ask.

1.) (Section 87-3) You and your friends decide to sell Bison hats and sweatshirts this semester. To save some money, you decide to manufacture these articles of clothing yourselves. Each hat costs $3 to manufacture, while each sweatshirt costs $15 to make. You also find that each hat takes one hour to make and each sweatshirt takes two hours to make, Pooling together all of your resources, you have a maximum budget of $2,700 that you can use to make these pieces of clothing. You also want to get these made and on the market soon, so you estimate that among all of you, you have a maximum of 600 labor hours to devote to making these hats and sweatshirts. Ultimately, you would like to know how many hats and sweatshirts you need to make and sell this semester. (a) Clearly declare and define the variables for this problem. (b) Give all constraints for this problem in terms of the above variables. (c) Neatly sketch and label the feasible region for this problem, also finding and labeling all of its corner points. 2.) (Section $7-3) Your friend Tommy is trying to create a meal that meets certain dietary require- ments. His dish is simple: just beans and rice. He found that each tablespoon of uncooked beans contains 4 units of protein, 0.7 units of sodium, and 48 calorites. He also discovered that each tablespoon of uncooked rice contains 2 units of protein, 0.8 units of sodium, and 18 calories. In all, he wants to make sure that he gets at least 20 units of protein, but no more than 5.6 units of sodium. Find the feasible region (with labeled axes and corner points) that describes all possible combinations of tablespoons of uncooked beans and rise that would satisfy his dietary criteria. Be sure to first, somewhere on your page, clearly identify and define what your variables stand for. 3.) (Section $7-4) Consider the problem above where you and your friends are making and selling Bison hats and sweatshirts. If you sell each hat for $12 and each sweatshirt for $32, how many of each must be sold in order to maximize revenue? 4.) (Section 87-4) Consider the problem above where you and your friends are making and selling Bison hats and sweatshirts. If you sell each hat for $12 and each sweatshirt for $32, how many of each must be sold in order to maximize profit? 5.) (Section $7-4) Consider the problem above with beans and rice. What is the minimum number of calories Tommy will consume when eating this bean and rice mixture while still respecting the given constraints