Can someone help with 12, 13 and 14? If you can only solve one or two thats fine. I will post the remaining answers again.
manufacturer wants to know how many yards of each type of cloth to produce to PROBLEMS101 profit. a. Formulate a linear programming model for this problem b. Transform this model into standard form 10. Solve the model formualated in Problem 9 for Irwin Textile Mills graphically a. How mach extra coton and processing time are l for corduroy met? to $3.00? What is the effect if the profit per yard of corduroy is of cotton per month? left over at the optimal solution? Is the I deenand b. What is the effiect c. What would be the effect on the optirnal solution if the profit per yard of denim is increased froms $2.25 s increased from $3.10 to $4.00 on the optimal solution if Irwin Mils could obtain only 6,000 pounds 11. Solve the linear programming model formulated in Problem 9 for Irwin Mills by using the a If Irwin Mills can obtain additional coton or processing time, but not both, which should it b. Identify the sensitivity ranges for the objective fanction coefficients and for the constrain select? How much? Explain your answer. quantity values. Then explain the sensitivity range for the demand for conduroy 12. United Aluminum Company of Cincinnati produces three grades Chigh, medium, and low) of aluminum at two mills. Each mill has a diffeent production capacity (in tons per day) for each grade, as follows: Aluminum Grade High Medium Low 10 The company has contracted with a manufacturing firm to supply at least 12 tons of high-grade aluminum, 8 tons of medium-grade aluminum, and 5 tons of low-grade aluminum. It costs United $6,000 per day to operate mill 1 and $7,000 per day to operate mill 2. The company wants to know the number of days to operate each mill to meet the contract at the minimum cost. Formulate a linear programming model for this problem. 13. Solve the linear programming model formulated in Problem 12 for United Aluminum Company a. How much extra (i.e, surplus) high-, medium-, and low-grade aluminum does the company produce at the optimal solution? What would be the effect on the optimal solution if the cost of operating mill I increased from $6,000 to $7,500 per day? What would be the effect on the optimal solution if the company could supply only 10 tons of high-grade aluminum? b. c. 14. Solve the linear programming model formulated in Problem 12 for United Aluminum Company by using the computer. a. Identify and explain the shadow prices for each of the aluminum grade contract requirements. b. Identify the sensitivity ranges for the objective function coefficients and the constraint quantity values. Would the solution values change if the contract requirements for high-grade aluminum were increased from 12 tons to 20 tons? If yes, what would the new solution values be? c
