KCET 2022 | Linear Programming Question 3 | Mathematics

A dietician has to develop a special diet using two foods $$X$$ and $$Y$$. Each packet (containing $$30 \mathrm{~g}$$ ) of food. $$X$$ contains 12 units of calcium, 4 units of iron, 6 units of cholesterol and 6 units of vitamin A. Each packet of the same quantity of food Y contains 3 units of calcium, 20 units of iron, 4 units of cholesterol and 3 units of vitamin A. The diet requires at least 240 units of calcium, atleast 460 units of iron and atmost 300 units of cholesterol. The corner points of the feasible region are

$$(2,72),(40,15),(15,20)$$

$$(2,72),(15,20),(0,23)$$

$$(0,23),(40,15),(2,72)$$

$$(2,72),(40,15),(115,0)$$

KCET 2021

MCQ (Single Correct Answer)

-0

The shaded region is the solution set of the inequalities

KCET 2021 Mathematics - Linear Programming Question 4 English

$$5 x+4 y \geq 20, x \leq 6, y \geq 3, x \geq 0, y \geq 0$$

$$5 x+4 y \leq 20, x \leq 6, y \leq 3, x \geq 0, y \geq 0$$

$$5 x+4 y \geq 20, x \leq 6, y \leq 3, x \geq 0, y \geq 0$$

$$5 x+4 y \geq 20, x \geq 6, y \leq 3, x \geq 0, y \geq 0$$

KCET 2020

MCQ (Single Correct Answer)

-0

Corner points of the feasible region determined by the system of linear constraints are $$(0,3),(1,1)$$ and $$(3,0)$$. Let $$z=p x=q y$$, where, $$p, q>0$$. Condition on $$p$$ and $$q$$, so that the minimum of $$z$$ occurs at $$(3,0)$$ and $$(1,1)$$ is

$$p=2 q$$

$$p=\frac{q}{2}$$

$$p=3 q$$

$$p=q$$

KCET 2020

MCQ (Single Correct Answer)

-0

The feasible region of an LPP is shown in the figure. If $$z=11 x+7 y$$, then the maximum value of $$Z$$ occurs at

KCET 2020 Mathematics - Linear Programming Question 2 English

(0, 5)

(3, 3)

(5, 0)

(3, 2)

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