Question

A company produces 3 products A, B and C processed on 3 machines P, Q, R before completion.Machine P can process 25 units of A or 50 unit of B or 75 units of C per hour. Machine Q can process 50

units of any of the products per hour. Machine R can process 50 units of A or 25 unit of B or 100 units of C

per hour. The processing hours available on machines P, Q and R are 12, 12 and 13 respectively. Use matrix


method, find

(i) How many units of each of the three products can be produced per day


(ii) The production cost per unit, if cost per hour of operating machines A,B and C are N$500, N$1,000 and

N$1,500 respectively

(iii) The total cost of production.​

Answer 1

Step-by-step explanation:

(b) A company produces 3 products A, B and C processed on 3 machines P, Q, R before completion. Machine P can process 25 units of A or 50 unit of B or 75 units of C per hour. Machine Q can process 50 units of any of the products per hour. Machine R can process 50 units of A or 25 unit of B or 100 units of C per hour. The processing hours available on machines P, Q and R are 12, 12 and 13 respectively. Use matrix method, find (i) How many units of each of the three products can be produced per day (ii) The production cost per unit, if cost per hour of operating machines A,B and C are N$500, N$1,000 and N$1,500 respectively. (iii) The total cost of production.