Solve these problems using the graphical method (on a separate sheet of paper). Clearly state your...

Transcribed Image Text:

Solve these problems using the graphical method (on a separate sheet of paper). Clearly state your decision variable (DV), constraints, and objective function (OF). Remember your units. Assemble a table of constraints in STANDARD FORM with a left hand side (LHS) and a right hand side (RHS). Be sure to label optimal solution point(s), identify the optimum objective value, and the corresponding optimal values for decision variables. Clean, neat, and orderly. 1. Given: A Farmer has 240 acres to plant. She needs to decide how many acres of corn to plant and how many of oats. She can make $40 per acre profit for corn and $30 per acre for oats. However, the corn takes 2 hours of labor per acre to harvest and the oats only take 1 hour per acre. She only has 320 hours of labor she can invest. To maximize profit, how many acres of each should she plant? 2. Given: Carl has a soil amendment company where he makes two types of planting soils: 1) garden mixture and 2) potting mixture. A package of garden mixture requires 2 pounds of soil, 1 pound of peat moss and 1 pound of fertilizer. A package pf potting mixture requires 1 pound of soil, 2 pounds of peat moss and 3 pounds of fertilizer. He has at most 16 pounds of soil, 11 pounds of peat moss, and 15 pounds of fertilizer. A package of garden mixture nets a profit of $3 and a package of potting mixture nets $5. Assuming all mixtures made will sell, how many packages of each type of mixture should he make to maximize profit. Solve these problems using the graphical method (on a separate sheet of paper). Clearly state your decision variable (DV), constraints, and objective function (OF). Remember your units. Assemble a table of constraints in STANDARD FORM with a left hand side (LHS) and a right hand side (RHS). Be sure to label optimal solution point(s), identify the optimum objective value, and the corresponding optimal values for decision variables. Clean, neat, and orderly. 1. Given: A Farmer has 240 acres to plant. She needs to decide how many acres of corn to plant and how many of oats. She can make $40 per acre profit for corn and $30 per acre for oats. However, the corn takes 2 hours of labor per acre to harvest and the oats only take 1 hour per acre. She only has 320 hours of labor she can invest. To maximize profit, how many acres of each should she plant? 2. Given: Carl has a soil amendment company where he makes two types of planting soils: 1) garden mixture and 2) potting mixture. A package of garden mixture requires 2 pounds of soil, 1 pound of peat moss and 1 pound of fertilizer. A package pf potting mixture requires 1 pound of soil, 2 pounds of peat moss and 3 pounds of fertilizer. He has at most 16 pounds of soil, 11 pounds of peat moss, and 15 pounds of fertilizer. A package of garden mixture nets a profit of $3 and a package of potting mixture nets $5. Assuming all mixtures made will sell, how many packages of each type of mixture should he make to maximize profit.