Quiz EIB10503

It is a tool for maximizing or minimizing a quantity, typically a profit, or a cost, limited to the constraints.

What are the main component of linear programming problem?

• Decision Variables

• Objective Function

• Constraints

• Optimal Solution

Set of all points that satisfy all of the problem's resource restrictions

_________ are the restrictions or limitation imposed on the linear programming problem.

• Cost

• Variables

• Constraints

• Profit

The type of constraints which specifies maximum capacity of a resource is _______________ constraints.

• Less than

• Less than or equal

• Greater than

• Greater than or equal

" A contractor can build at most 500 of an apartment,(x) and flat,(y) houses" . Convert the sentence given into inequality.

If the given inequality is greater than or greater than or equal, the region _______________ the straight line ax+by+c=0 has to be shaded.

• below

• above

To find the optimal solution for maximum cases, all entries in the objective row of the final tableau are ___________

• positive

• negative

A diet is to contain at least 80 units of vitamin A and 100 units of minerals. Two foods F₁and F₂ are available. Food F₁ costs RM 4 per unit food and F₂ costs RM 6 per unit. One unit of food F₁ contains 3 units of vitamin A and 4 units of minerals. One unit of food F₂ contains 6 units of vitamin A and 3 units of minerals. Formulate this as a linear programming problem. Find the minimum cost for diet that consists of mixture of these two foods and also meets the minimal nutritional requirements?

• 110

• 107

• 104

• 100

Maximize Z = 3x + 4y Subject to the constraints: x + y < 4, x > 0, y > 0 Find the maximum value of Z?

• 16

• 14

• 12

• 10