Answer:
4500 units of A and 7,000 units of B
Explanation:
The linear programming equations can be formed as:
The objective function = 30a + 40b
a + b = 2500.........................equation 1
100a + 150b = 600,000......equation 2
multiply equation 1 by 100 we have
100a + 100b = 250000..........equation 3
Subtract equation 3 from 2
100a + 150b = 600,000......equation 2
<u>100a + 100b = 250,000.</u>.........equation 3
50b = 350,000
Therefore b = 350,000 / 50 = <u>7,000</u>
substitute 7000 for b in equation 1
a + 7000 = 2500
a = 2,500 - 7000 = <u>4500</u> (ignoring the minus sign)
Therefore the company should produce 4500 units of A and 7,000 units of B