Question

Vollmer Manufacturing makes three components for sale to refrigeration companies. The components are processed on two machines: a shaper and a grinder. The times (in minutes) required on each machine are as follows: Machine Component Shaper Grinder 1 6 4 2 4 5 3 4 2 The shaper is available for 120 hours, and the grinder for 110 hours. No more than 200 units of component 3 can be sold, but up to 1,000 units of each of the other components can be sold. In fact, the company already has orders for 600 units of component 1 that must be satisfied. The profit contributions for components 1, 2, and 3 are $8, $6, and $9, respectively. (a) Formulate and solve for the recommended production quantities. If the constant is "1" it must be entered in the box. If an amount is zero, enter "0". Let C1 = units of component 1 manufactured C2 = units of component 2 manufactured C3 = units of component 3 manufactured Max C1 + C2 + C3 s.t. C1 + C2 + C3 - Select your answer -≤≥=Item 7 Shaper C1 + C2 + C3 - Select your answer -≤≥=Item 12 Grinder C3 - Select your answer -≤≥=Item 15 Maximum units of component 3 C1 - Select your answer -≤≥=Item 18 Maximum units of component 1 C2 - Select your answer -≤≥=Item 21 Maximum units of component 2 C1 - Select your answer -≤≥=Item 24 Minimum units of component 1 C1, C2, C3 - Select your answer -≤≥=Item 26 Optimal solution: C1 =  , C2 =  , C3= (b) What are the objective coefficients ranges for the three components? If required, round your answers to two decimal places. Variable Objective Coefficient Range C1 - Select your answer -No Lower Limit7.335.466.00Item 31 to - Select your answer -No Upper Limit9.008.569.50Item 32 C2 - Select your answer -No Lower Limit4.335.336.00Item 33 to - Select your answer -No Upper Limit9.008.5610.00Item 34 C3 - Select your answer -No Lower Limit5.005.506.00Item 35 to - Select your answer -No Upper Limit10.009.509.00Item 36 Interpret these ranges for company management. The input in the box below will not be graded, but may be reviewed and considered by your instructor. (c) What are the right-hand-side ranges? Constraint Right-Hand-Side Range 1 - Select your answer -No Lower Limit430044004500Item 38 to - Select your answer -No Upper Limit744075007550Item 39 2 - Select your answer -No Lower Limit433053306300Item 40 to - Select your answer -No Upper Limit850072006600Item 41 Interpret these ranges for company management. The input in the box below will not be graded, but may be reviewed and considered by your instructor. (d) If more time could be made available on the grinder, how much would it be worth? - Select your answer -Profit of $1000Profit of $200NothingItem 43 Explain. The input in the box below will not be graded, but may be reviewed and considered by your instructor. (e) If more units of component 3 can be sold by reducing the sales price by $4, should the company reduce the price? - Select your answer -YesNoItem 45 Explain. The input in the box below will not be graded, but may be reviewed and considered by your instructor.

Answer 1

Answer:

The optimal solution is C1 = 600 C2 = 700 C3 = 200

b)