A company manufactures two types of products A and B. The storage capacity of its godown is 100 units. Total investment amount is ₹ 30,000. The cost price of A and B are ₹ 400 and ₹ 900 respectively. Suppose all the products have sold and per unit profit is ₹ 100 and₹ 120 through A and B respectively. If x units of A and y units of B be produced, then two linear constraints and isoprofit line are respectively

Question

A company manufactures two types of products A and B. The storage capacity of its godown is 100 units. Total investment amount is ₹ 30,000. The cost price of A and B are ₹ 400 and ₹ 900 respectively. Suppose all the products have sold and per unit profit is ₹ 100 and₹ 120 through A and B respectively. If x units of A and y units of B be produced, then two linear constraints and isoprofit line are respectively (A) x + y= 100; 4x + 9y = 300, 100x +120y = c (B) x + y le 100; 4x + 9y le 300, x + 2y = c (C) x + y le 100; 4x + 9y le 300, 100x + 120y = c (D) x + y le 100; 9x + 4y le 300, x + 2y = c

Tardigrade Admin · Accepted Answer

x + y le 100; 400x + 900y le 30000 or 4x +9y le 300 and 100x + 120y = c.

$x + y = 100; 4 x + 9 y = 300, 100 x + 120 y = c$

$x + y \leq 100; 4 x + 9 y \leq 300, x + 2 y = c$

$x + y \leq 100; 4 x + 9 y \leq 300, 100 x + 120 y = c$

$x + y \leq 100; 9 x + 4 y \leq 300, x + 2 y = c$

$x + y \leq 100; 400 x + 900 y \leq 30000$ or
$4 x + 9 y \leq 300$ and $100 x + 120 y = c$ .

x+y=100;4x+9y=300,100x+120y=c

x+y≤100;4x+9y≤300,x+2y=c

x+y≤100;4x+9y≤300,100x+120y=c

x+y≤100;9x+4y≤300,x+2y=c

x+y≤100;400x+900y≤30000 or 4x+9y≤300 and 100x+120y=c.

$x + y = 100; 4 x + 9 y = 300, 100 x + 120 y = c$

$x + y \leq 100; 4 x + 9 y \leq 300, x + 2 y = c$

$x + y \leq 100; 4 x + 9 y \leq 300, 100 x + 120 y = c$

$x + y \leq 100; 9 x + 4 y \leq 300, x + 2 y = c$

$x + y \leq 100; 400 x + 900 y \leq 30000$ or
$4 x + 9 y \leq 300$ and $100 x + 120 y = c$ .