Every gram of wheat provides 0.15 g of proteins and 0.24 g of carbo hydrates. The corresponding values of proteins and carbo hydrate of rice are 0.05g and 0.48g respectively. Wheat costs ₹40 per kg and rice costs ₹60 per kg. The minimum daily requirements of proteins and carbohydrates for an average child are 50g and 200 g respectively. Which of the following options describes the LPP to minimize the total cost of wheat and rice that provide minimum daily requirements of proteins and carbohydrates ?

Question

Accepted Answer

minimize $$z=\frac{40x}{1000}+\frac{60y}{1000}$$ subjected to constraints $$0.15x+0.05y \geq 50$$, $$0.24x+0.48y \geq 200,x,y \geq 0$$

Answer

minimize $$z=40x+60y$$ subjected to constraints $$0.15x+0.05y \geq 60$$, $$0.24x+0.48y \geq 400,x,y \geq 0$$

Answer

minimize $$z=40x+60y$$ subjected to constraints $$0.15x+0.05y \leq 50$$, $$0.24x+0.48y \leq 200,x,y \geq 0$$

Answer

minimize $$z=\frac{40x}{1000}+\frac{60y}{1000}$$ subjected to constraints $$0.15x+0.05y \leq 50$$, $$0.24x+0.48y \leq 200,x,y \geq 0$$

List - I	List - II
(A) The common region determined by all the linear constraints of a L.P.P. is called	(I) corner point
(B) A point in the feasible region which is the intersection of two boundary lines is called,	(II) non-negative
(C) The feasible region for an LPP is always a	(III) feasible region
(D) The constraints $x, y \geq 0$ describes that the variables involved in a LPP are	(IV) convex polygon

Required	Chair	Table	Available quantity
Wood	3	5	150
Labour	1	2	56

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