English, asked by rafsi3165, 1 month ago

A factory employs three machines M1, M2 and M3 to manufacture three products X, Y and Z. Each machine runs for 12 hours a day. The following table gives the time taken (in minutes) by each machine to manufacture 1 unit of each of the products.Write an analytical paragraph about the efficiency of the machines.

Answers

Answered by shyantanisdoom234

Answer:

There Mark Brainliest

Explanation:

A factory employs three machines M1, M2 and M3 to manufacture three products X, Y and Z. Each machine runs for 12 hours a day. The following table gives the time taken (in minutes) by each machine to manufacture 1 unit of each of the products.

M1 M2 M3

X 12 15 16

Y 18 9 15

Z 10 18 12

1)What is the maximum number of products that can be manufactured in a day?

A)1252 B)1553 C) 2004 D) 212

Sol: Since the maximum number is asked, the machine time of the product being manufactured must be minimum. On machines M1, M2 and M3, products X , Y and Z need minimum time respectively. Since, each machine has 720 minutes of manufacturing time, 72 units of Z, 80 units of Y and 60 units of X can be manufactured on the three machines respectively. Thus, the maximum units that can be manufactured in a day is 212.

2)On a particular day, the demand for 40 units of X and 50 units of Y must be met. If the remaining production is of product Z only, what is the maximum number of units of Z that can be manufactured on that day?

(A) 812 (B) 853 (C) 994 (D)None of these

Sol: Let X and Y be manufactured on machines where they need minimum manufacturing time. So, X and Y are manufactured on machines M1 and M2 respectively. Manufacturing 40 units of X on M1 leaves 720 – 480 = 240 minutes of manufacturing time. So, 24 units of Z can be manufactured on this machine. Manufacturing 50 units of Y on M2 leaves 720 – 450

= 270 minutes of manufacturing time.

So, 15 units of Z can be manufactured on this machine. Since M3 has 720 minutes of manufacturing time, 60 units of Z can be manufactured on this machine. So, the total units of Z that can be manufactured is 99

3)A unit of Y can be manufactured only after 3 units of X and 4 units of Z have been manufactured. What is the minimum time required to manufacture 15 units of Y?

(A)1359 minutes (B)1442 minutes (C)1556 minutes (D)1655 minutes

Sol:Before manufacturing 15 units of Y, 45 units of X and 60 units of Z must be manufactured. X-M1 → 540 minutes,

Z-M1(18 units) → 180 minutes,

Z-M3(42 units) → 504 minutes ,

Y-M2(15 units) → 135 minutes.

So, the total is 1359 minutes

Answered by lakshmilakku