A furniture dealer deals in only two items - tables and chairs. He has ₹ 15000 to invest and a space to store atmost 60 pieces. A table costs him ₹ 750 and a chair ₹ 150. Suppose he makes x tables and y chairs. The above data in the form of inequations can be written as

Question

A furniture dealer deals in only two items - tables and chairs. He has ₹ 15000 to invest and a space to store atmost 60 pieces. A table costs him ₹ 750 and a chair ₹ 150. Suppose he makes x tables and y chairs. The above data in the form of inequations can be written as (A) 750 x+150 y<15000, x+y<60, x ≥ 0 and y ≥ 0 (B) 750 x+150 y>15000, x+y>60, x ≥ 0 and y ≥ 0 (C) 750 x+150 y ≤ 15000, x+y ≤ 60, x ≥ 0 and y ≥ 0 (D) 750 x+150 y ≥ 15000, x+y ≥ 60, x ≥ 0 and y ≥ 0

Tardigrade Admin · Accepted Answer

Total cost of x tables and y chairs =750 x+150 y Since, he has ₹ 15000 to invest, then 750 x+150 y ≤ 15000 Again, he has space to store at most 60 pieces ∴ x+y ≤ 60 ∵ x and y are numbers, x ≥ 0, y ≥ 0 Hence, linear inequalities representing the above data are 750 x+150 y ≤ 15000, x+y ≤ 60, x ≥ 0 and y ≥ 0

Q. A furniture dealer deals in only two items - tables and chairs. He has ₹ 15000 to invest and a space to store atmost 60 pieces. A table costs him ₹ 750 and a chair ₹ 150. Suppose he makes $x$ tables and $y$ chairs.
The above data in the form of inequations can be written as

$750 x + 150 y < 15000, x + y < 60, x \geq 0$ and $y \geq 0$

$750 x + 150 y > 15000, x + y > 60, x \geq 0$ and $y \geq 0$

$750 x + 150 y \leq 15000, x + y \leq 60, x \geq 0$ and $y \geq 0$

$750 x + 150 y \geq 15000, x + y \geq 60, x \geq 0$ and $y \geq 0$

Q. A furniture dealer deals in only two items - tables and chairs. He has ₹ 15000 to invest and a space to store atmost 60 pieces. A table costs him ₹ 750 and a chair ₹ 150. Suppose he makes x tables and y chairs. The above data in the form of inequations can be written as

750x+150y<15000,x+y<60,x≥0 and y≥0

750x+150y>15000,x+y>60,x≥0 and y≥0

750x+150y≤15000,x+y≤60,x≥0 and y≥0

750x+150y≥15000,x+y≥60,x≥0 and y≥0

Q. A furniture dealer deals in only two items - tables and chairs. He has ₹ 15000 to invest and a space to store atmost 60 pieces. A table costs him ₹ 750 and a chair ₹ 150. Suppose he makes $x$ tables and $y$ chairs.
The above data in the form of inequations can be written as

$750 x + 150 y < 15000, x + y < 60, x \geq 0$ and $y \geq 0$

$750 x + 150 y > 15000, x + y > 60, x \geq 0$ and $y \geq 0$

$750 x + 150 y \leq 15000, x + y \leq 60, x \geq 0$ and $y \geq 0$

$750 x + 150 y \geq 15000, x + y \geq 60, x \geq 0$ and $y \geq 0$