Consider a set of n employees that are to be assigned to n task. We can use no more than

$100\%$ of an employee time in the allocation and to each task we must assign $100\%$ of one or

more employees$$ time. Each allocation bears a certain costs. The problem is to assign

employees$$ time to task so as to minimize the overall assignment costs.

Assume n$=3.$ The assignment cost are shown as follows:

$431$

$853$

$262$

If we use $20\%$of employee $1$s time for task $2$ the costs are $0,2*3=0,6.$ Formulate the problem to

minimize the sum of all assignment costs.