Question
A plant manager has four subordinates, and four tasks to be performed. The subordinates differ in efficiency and the tasks differ in their intrinsic difficulty. This estimate of the times each man would take to perform each task is given in the effectiveness matrix below.
IIIIIIIV
A7252610
B1227325
C37181714
D1825239
How should the tasks be allocated, one to a man, as to minimize the total man-hours?

Answer

Get the step-by-step solution for this question inside the Vidyadip app.

Get the answer in the app

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Solve the differential equation $(x^2 – yx^2)dy + (y^2 + xy^2)dx = 0$
If $A=\left[\begin{array}{cc}1 & -2 \\ 3 & -5 \\ -6 & 0\end{array}\right], B=\left[\begin{array}{cc}-1 & -2 \\ 4 & 2 \\ 1 & 5\end{array}\right]$ and $C=\left[\begin{array}{cc}2 & 4 \\ -1 & -4 \\ -3 & 6\end{array}\right]$, find the matrix $X$ such that $3 A-4 B+5 X=C$.
If the difference between true discount and banker’s discount on a sum due 4 months hence is $\text{₹} 20.$ Find true discount, banker’s discount and amount of bill, the rate of simple interest charged is $5\%$ p.a.
Solve the following differential equations : $\frac{d \theta}{d t}=-k\left(\theta-\theta_0\right)$
The following sample gave the number of hours of study (X) per day for an examination and marks (Y) obtained by 12 students.
X 3 3 3 4 4 5 5 5 6 6 7 8
Y 45 60 55 60 75 70 80 75 90 80 75 85
Obtain the line of regression of marks on hours of study.
Find matrices $A$ and $B$, if $2 A-B=\left[\begin{array}{ccc}6 & -6 & 0 \\ -4 & 2 & 1\end{array}\right]$ and $A-2 B=\left[\begin{array}{ccc}3 & 2 & 8 \\ -2 & 1 & -7\end{array}\right]$
Find the area of the region bounded by the curve $y = x^2$ and the line $y = 10$.
If a r.v. X has p.d.f. $ f(x)=\left\{\begin{array}{ll} \frac{c}{x} & \text { for } 1<x<3, c>0 \\ 0 & \text { otherwise } \end{array}\right. $ Find $c, E(X)$ and $V(X)$. Also find $f(x)$.
A merchant buys some mixers at a $15 \%$ discount on catalogue price. The catalogue price is $\text{₹}$ 5,500$ per price of the mixer. The freight charges amount to $2 \frac{1}{2} \%$ on the catalogue price. The merchant sells each mixer at a $5 \%$ discount on the catalogue price. His net profit is $\text{₹}$ 41,250 , Find the number of mixers.
Obtain trend values for data in problem 19 using 3-yearly moving averages.