Linear programming questions | form four Basic Mathematics

If B1 = { (x, y):x + y < 6, x, y R} and B2 = { (x, y): x- y < 2, x, y R}
draw the graphs ofB1 and B2 and shade the area represented by B1 B2•

Answer / Solution

UNSOLVED

Write down three inequalities which deflne the shaded area labelled A in the diagram below.

Answer / Solution

UNSOLVED

1. Draw using the same set of axes the following inequalities:

2x+y16

x+2y11

x+3y15

x0

y0

2. From the graph in (a) find the points which will make the function f(x, y) = 3x + 5y either a maximum or minimum.

Answer / Solution

UNSOLVED

Two tailors A and B spend shs. 15,000/= and shs. 20,000/= per day to make a shirt and a gown respectively. A can stitch 6 shirts and 4 gowns per day while B can stitch 10 shirts and 4 gowns per day. How many days shall each work if it is desired to stitch at least 60 shirts and 32 gowns at a minimum cost?

Answer / Solution

UNSOLVED

Two types of food, A and B, contain 4 and 6 units of protein, and 5 and 3 units of starch per kg respectively. The cost of A is shs. 400.00 per kg. The cost of  B is shs. 500.00 per kg. If the minimum daily intake is 16 units of protein and 11 units of starch, how much food should be bought in order to meet these conditions?

Answer / Solution

UNSOLVED