Consider the following linear program. Мах ЗА + 4Bв s.t. -1A + 2B57 1A + 2B s 12 2A + 1B s17 A, B 20 (a) Write the problem in standard form. ])». - [ Маx ЗА + 4B + + + st. -1A + 28 + = 7 1A + 2B = 12 2A + 1B = 17 A, B, S1, S2, S 0 (b) Solve the problem using the graphical solution procedure. -(C (A, B) = (c) What are the values of the three slack variables at the optimal solution? s, = S2 S3 =
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- Formulate the linear program of the following problem. The Queen City Constitution Company needs to rest some special truck which will haul 20 standard load of dirt per day, or it can rent a medium duty model truck which will have 15 standards loads per day. The heavy duty model costs Php1,800 a day to rent while medium duty model cost Php 1, 600 a day. In order to operate the heavy duty model, however it is necessary to hold a proficiency skill level, and Queen City has only four truck drivers who have necessary skill level, If Queen City needs sufficient capacity to have a total of 155 standard loads of dirt per day, determine the number of each truck drive that it should rent to minimize its costs.Write the transportation problem as a linear programming problem in terms and solvent of x and y and solve. (Indicate the number of units that should be transported from each factory to each depot and the total transportation cost.)Can someone solve this problem by formulating a linear programming model and solve it by using the computer.
- Solve the linear programming problem.Formulate the Linear Programming problem for each situation and solve using the corner point methoda) ABC Pizza Inc. is a producer of frozen pizza product. The company makes a profit of $1.00 for each regular pizza that it produces and $1.50 for each deluxe pizza produced. Each pizza includes a combination of dough mix and topping mix. Currently, the firm has 150 pounds of dough mix and 50 pounds of topping mix. Each regular pizza uses 1 pound of dough mix and ¼ pound of topping mix. Each deluxe pizza uses 1 pound of dough mix and ½ pound of topping mix. Based on past demand ABC Pizza can sell at least 50 regular pizzas and at least 25 deluxe pizzas. How many regular pizzas and deluxe pizza should the company produce to maximize profit?Formulate the following problem as a linear programming problem (DO NOT SOLVE): A dietician can purchase an ounce of chicken for $0.25 and an ounce of potatoes for $0.02. Each ounce of chicken contains 13 units of protein and 24 units of carbohydrates. Each once of potatoes contains 5 units of protein and 35 units of carbohydrates. The minimum daily requirements for the patients under the dieticians' care are 45 unites of protein and 50 units of carbohydrates. How many ounces of each type of food should the dietician purchase for each patient so as to minimize costs and at the same time insure the minimum daily requirements of protein and carbohydrates? (Let x1 equal the number of ounces of chicken and x2 the number of ounce of potatoes pruchased per patient)
- Assemble the Linear Programming problem from the SIMPLEX table:A farmer has 1,000 acres of land on which he can grow corn, wheat or soya beans. Each acre of corn costs ksh 100 for preparation, requires 7 man – days of work and yields a profit of ksh. 30. An acre of wheat costs ksh 120 to prepare, requires 10 man – days of work and yields a profit of ksh. 40. An acre of soya beans costs ksh 70 to prepare, requires 8 man – days of work and yields a profit of ksh. 20. If the farmer has ksh 100,000 for preparation and can count on 8,000 man – days of work, how many should be allocated to each crop to maximize profits.Recreate the LINEAR PROGRAMMING PROBLEM based on the image of the LP MODEL attached below