Linear programming questions | form five Pure Advanced Mathematics

Following an illness, a patient is required to take pills containing minerals and vitamins. The contents and costs of two types of pills, Feelgood and Getbetta, together with the patient`s daily requirement, are shown in the following table:

If the daily prescription contains x Feelgood pills and y Getbetta pills, find the cheapest way of prescribing the pills and the cost.

Answer / Solution

UNSOLVED

Mr. Safari wants 10, 12 and 12 units of chemicals A,B and C respectively for his garden. A liquid product contains 5 units of A, 2 units of B and 1 unit of C per jar and each jar is sold at 3,000/=. On the other hand a dry product contains 1 unit of A, 2 units of B and 4 units of C per carton and each carton is sold at 2,000/=. If x and y are hte number of jars of liquid products and cartons of dry products respectively, formulate a linear programming problem to minimize the cost.

Answer / Solution

UNSOLVED

A cement dealer has two depost; D1 and D2 holding 180 tons and 250tons of cement respectively. The customers C1 and C2 have ordered 200 and 150 tons respectively. The transport cost per ton from each depot to each customer are as shown in the following table:

1. How many tons of cement should be delivered to each customer in order to minimize the transport cost?
2. After the orders, how many tons of cement will remain at D2?

Answer / Solution

UNSOLVED