question archive (a) Isuri Computer Manufacturing Company (ICMC) needs to meet the demand of its largest corporate and educational customers for laptops over the next three quarters
(a) Isuri Computer Manufacturing Company (ICMC) needs to meet the demand of its largest corporate and educational customers for laptops over the next three quarters
Subject:ManagementPrice: Bought3
(a) Isuri Computer Manufacturing Company (ICMC) needs to meet the demand of its largest corporate and educational customers for laptops over the next three quarters. The ICMC currently has 45 laptops in inventory. Expected demand over the next three quarters for its laptops is 600; 750; and 1020 respectively. The ICMC has sufficient capacity and material to produce on regular basis up to 800 computers in each quarter at a cost of Rs.75000 per laptop. By using overtime, up to an additional 300 laptops can be produced at a cost of Rs.95000 each. The ICMC wishes to have at least 120 laptops in stock at the end of three quarters.
The inventory cost for laptops is Rs.600 per unit per quarter. How should ICMC meet its demand for laptops at minimum cost? Formulate a linear programming model for this problem.
(b) Consider the linear programming model given bellow:
Maximize Z = 80 X1 + 70 X2 (Profit Product P and Q)
Subject to:
2X1 + 3X2 ≤ 90 (Labour hours Constraint)
2X1 + X2 ≤ 40 (Material Constraint)
X1 + X2 ≤ 60 (Machining hours Constraint)
X1 ,X2 ≥ 0
(i) Determine optimal product mix using graphical solution method.
(ii) Identify the remaining resources.
