Question

Problem 1.6
An animal feed company must produce 200 kg of a
mixture consisting of ingredients X1, and X2 daily. X1
cost Rs. 3 per kg and X2 Rs. 8 per kg. Not more than
80 kg of X1 can be used, and at least 60 kg of X2 must
be used. Find how much of each ingredient should be
used if the company wants to minimise cost.​

Answer 1

Answer:

Letttttttttt meeeeeeeeeeeeeee guessssssssssseee

Explanation:

Answer 2

The company should use 240 rupees on X1 ingredients and 600 rupees on x2 ingredients to minimize the cost.

Step-by-step explanation:

An animal feed company must produce exactly 200kg of a mixture consisting of ingredients a and b.

x1 + x2  = 200 kg

x1 ≤ 80 & x2 ≥ 60

Cost = 3 (x1) + 5 (x2)

The Cost of “x1” is less. Hence we must use a maximum of “x1” and also not more than 80kg of “x1” can be used.  

Here,  

x1= 80

x2 = 200kg – 80kg  

  = 120 kg

Cost of 200 kg   =  (3 x1 +5 x2)

                            = (3 * 80) + (5 * 120)  

                            = 240 + 600

                            = 840

Cost of mixture = Rs 840 .

The company should use 240 rupees on X1 and 600 rupees on x2 to minimize the cost.