Question: Don't need to solve. Just teh formulation is needed. 5. Acid company, a chemical engineering company manufactures two types of acids A and B. Both

Don't need to solve. Just teh formulation is needed.
5. Acid company, a chemical engineering company manufactures two types of acids A and B. Both of these involve two chemical operations for each. Each unit of Acid A requires 3 hours on operation 1 and 4 hours on operation 2. Each unit of Acid B requires 3 hours on Operation and 2 hours on operation 2. Available time for operation 1 is 20 hours and for operation 2, 18 hours. The production of B also results in a by-product C at no extra cost. A part of this by-product can be sold at a profit, but the remainder has to be destroyed. Acid A sells for P rupees profit per unit while acid B sells for P2 rupees profit per unit. The by-product C can be sold at a unit profit of P3 units, but remainder has to be destroyed. The destruction cost is P4 rupees per unit. Forecasts by sales department show that a maximum of K units of by-product C can be sold; n units of C results for every unit of B produced. Formulate a linear programming problem to determine the production quantities of A, B and C, so that the total profits will be maximized. 6. Let us consider a company making a single product. The estimated demand for the product for the next four months are 1000, 800, 1200, 900 units, respectively. The company has a regular time production capacity of 800 units per month and an overtime capacity of 200 units per month. The cost of regular time production is Rs. 20 per unit and the cost of overtime is Rs. 25 per unit. The company can carry inventory to the next month and the cost of carrying/holding is Rs. 3 per unit per month. The demand has to be met every month. Formulate the problem so as to minimize the overall cost by determining optimum quantity to be produced during regular time as well as overtime during each of the four months and also the quantity to be carried at the end of each monthStep by Step Solution
There are 3 Steps involved in it
1 Expert Approved Answer
Step: 1 Unlock
Question Has Been Solved by an Expert!
Get step-by-step solutions from verified subject matter experts
Step: 2 Unlock
Step: 3 Unlock
