Hello,
I really need help with these three Trigonometry problems from my homework over the weekend. I'm in kind of a rush, so quick replies will be much obliged!
1) FARMING: Dean Stadler has 20 days in which to plant corn and soybeans. The can be planted at a rate of 250 acres per day and soybeans at a rate of 200 acres per day. He has 4500 acres available for planting these two crops.(a) Let c represent the number of acres of corn and let s represent the number of acres of soybeans. Write a system of inequalities to represent the possible ways Mr. Stadler can plant the available acres.
(b) Draw the graph showing the feasible region and list the coordinates of the vertices of the feasible region.
(c) If the profit on corn is $26 per acre and the profit on soybeans is $30 per acre, how much of each should Mr. Stadler plant? What is the maximum profit?
(d) How much of each should Mr. Stadler plant if the profit on corn is $ 29 per acre and the profit on soybeans is $ 24 per acre? What is the maximum profit?
2) PACKAGING: The Cookie Factory’s bestselling items are chocolate chip cookies and peanut butter cookies. They want to sell both types of cookies together in combination packages. The different-sized packages will contain between 6 and 12 cookies, inclusively. At least three of each type of cookie should be in each package. The cost of making a chocolate chip cookie is 19 cents, and the selling price is 44 cents each. The cost of making a peanut butter cookie is 13 cents, and the selling price is 39 cents. How many of each type of cookies should be in each package to maximize the profit?
3. A garden shop wishes to prepare a supply of special fertilizer at a minimal cost by mixing two fertilizers, A and B. The mixture is to contain: at least 45 units of phosphate at least 36 units of nitrate at least 40 units of ammonium Fertilizer A costs the shop $.97 per pound. Fertilizer B costs the shop $1.89 per pound. Fertilizer A contains 5 units of phosphate and 2 units of nitrate and 2 units of ammonium. Fertilizer B contains 3 units of phosphate and 3 units of nitrate and 5 units of ammonium. How many pounds of each fertilizer should the shop use in order to minimize their cost?
I really need help with these three Trigonometry problems from my homework over the weekend. I'm in kind of a rush, so quick replies will be much obliged!
1) FARMING: Dean Stadler has 20 days in which to plant corn and soybeans. The can be planted at a rate of 250 acres per day and soybeans at a rate of 200 acres per day. He has 4500 acres available for planting these two crops.(a) Let c represent the number of acres of corn and let s represent the number of acres of soybeans. Write a system of inequalities to represent the possible ways Mr. Stadler can plant the available acres.
(b) Draw the graph showing the feasible region and list the coordinates of the vertices of the feasible region.
(c) If the profit on corn is $26 per acre and the profit on soybeans is $30 per acre, how much of each should Mr. Stadler plant? What is the maximum profit?
(d) How much of each should Mr. Stadler plant if the profit on corn is $ 29 per acre and the profit on soybeans is $ 24 per acre? What is the maximum profit?
2) PACKAGING: The Cookie Factory’s bestselling items are chocolate chip cookies and peanut butter cookies. They want to sell both types of cookies together in combination packages. The different-sized packages will contain between 6 and 12 cookies, inclusively. At least three of each type of cookie should be in each package. The cost of making a chocolate chip cookie is 19 cents, and the selling price is 44 cents each. The cost of making a peanut butter cookie is 13 cents, and the selling price is 39 cents. How many of each type of cookies should be in each package to maximize the profit?
3. A garden shop wishes to prepare a supply of special fertilizer at a minimal cost by mixing two fertilizers, A and B. The mixture is to contain: at least 45 units of phosphate at least 36 units of nitrate at least 40 units of ammonium Fertilizer A costs the shop $.97 per pound. Fertilizer B costs the shop $1.89 per pound. Fertilizer A contains 5 units of phosphate and 2 units of nitrate and 2 units of ammonium. Fertilizer B contains 3 units of phosphate and 3 units of nitrate and 5 units of ammonium. How many pounds of each fertilizer should the shop use in order to minimize their cost?
