Note: (1) Read the given conditions in each problem carefully. (2) Use computer software QM for Windows to solve the linear programs you have formulated. Ignore the requirement of using graphic method in the problems. (3) The definitions of variables are the basis for the formulations of LP. So, define a variable clearly and completely. For example, in problem 7-14, if variable X; were defined simply as "air conditioners, it would be not be correct because it would not be clear on "what of air conditioners you meant to say: "profit of air conditioners", or "cost of air conditioners, or "price of air conditioners? We must indicate clearly what of air conditioners. So, the correct definition for X, is: X1 = "number of air conditioners to produce. (4) In problem 7-39, pay attention to the consistency of labels of the terms in a constraint. For example, the constraint for ingredient A should indicate that the total amount of ingredient A contained in the three feeds being purchased cannot be less than the required amount. It is wrong to have constraint like this: 3X1+2X2+4X3 4, because the label of the term 3X1 is "ounce", while the label of the term 4 on RHS is "pound. To make the correction, you need to convert the 4 pounds on RHS to ounces. 1 pound = 16 ounces. So, 4 pounds = 4*16= 64 ounces. We'll then have the correct constraint 3X1+2X2+4X3264, in which every term has the label "ounce", I Answer the questions / fill up the blanks below: 7-14. (12 pts) (a) Definitions of variables (give the complete meanings of the variables): X X2 = (b) Objective function in terms of variables (ex: Max 2X1 +3X2): (pick one) Max or Min (c) Constraint 1 for wiring hours in terms of the above variables: Note: (1) Read the given conditions in each problem carefully. (2) Use computer software QM for Windows to solve the linear programs you have formulated. Ignore the requirement of using graphic method in the problems. (3) The definitions of variables are the basis for the formulations of LP. So, define a variable clearly and completely. For example, in problem 7-14, if variable X; were defined simply as "air conditioners, it would be not be correct because it would not be clear on "what of air conditioners you meant to say: "profit of air conditioners", or "cost of air conditioners, or "price of air conditioners? We must indicate clearly what of air conditioners. So, the correct definition for X, is: X1 = "number of air conditioners to produce. (4) In problem 7-39, pay attention to the consistency of labels of the terms in a constraint. For example, the constraint for ingredient A should indicate that the total amount of ingredient A contained in the three feeds being purchased cannot be less than the required amount. It is wrong to have constraint like this: 3X1+2X2+4X3 4, because the label of the term 3X1 is "ounce", while the label of the term 4 on RHS is "pound. To make the correction, you need to convert the 4 pounds on RHS to ounces. 1 pound = 16 ounces. So, 4 pounds = 4*16= 64 ounces. We'll then have the correct constraint 3X1+2X2+4X3264, in which every term has the label "ounce", I Answer the questions / fill up the blanks below: 7-14. (12 pts) (a) Definitions of variables (give the complete meanings of the variables): X X2 = (b) Objective function in terms of variables (ex: Max 2X1 +3X2): (pick one) Max or Min (c) Constraint 1 for wiring hours in terms of the above variables