Operations Research Answers

Which of the following is false with regard to the maximin criterion of decision making?

a. it is assumed hat the decision maker is pessimistic

b. it is assumed that whatever strategy is selected nature will respond in such a way as to produce the least possible again.

c. it is used to make decisions under conditions of uncertainty

d. it is used to make decisions under conditions of risk

e. it is used when probabilities of the various states of nature are not known.

A company produces two types of presentation goods A and B that requires gold and sliver. Each unit of type A requires 3 g of sliver and 1g of gold while B requires 1 g of sliver and 2 g of gold. The company can produce 9 g of sliver and 8 g of gold. Each unit of type A brings a profit of RS 40 and that type B a profit of Rs 50, determine the number of units of each type that should be produced in order to maximize profit.

A company owns two flour mills (A and B) which have different production capacities for HIGH, MEDIUM and LOW grade flour. This company has entered contract supply flour to a firm every week with 12, 8, and 24 quintals of HIGH, MEDIUM and LOW grade respectively. It costs the Co. $1000 and $800 per day to run mill A and mill B respectively. 

On a day, mill A produces 6, 2, and 4 quintals of HIGH, MEDIUM and LOW grade flour respectively. Mill B produces 2, 2 and 12 quintals of HIGH, MEDIUM and LOW grade flour respectively.

Required tasks:

•Formulate the LP model; how many days per week should each mill be operated in order to meet the contract order most economically standardize? Interpret the result; determine the surplus amount; determine the optimal value using simplex method. 

Develop an efficient algorithm for finding the optimal location for the parts center. Remember that when all the unit costs ki were assumed equal, we found that there could never be a better location for the parts center than at one of the cities xi . Is that still true in the more general problem we are now considering? How important is the variation in cost-per-mile to the problem of determining the optimal location?

Without using a two-phase approach, the dual simplex algorithm can only be used under

certain circumstances. What are those circumstances, i.e., what properties must a linear

program satisfy so that the dual simplex algorithm can be used to find its optimal objective

function value without a two-phase approach

Neon lights on a campus are replaced at the rate of 100 units perday. The physical plant orders the neon lights periodically. It costs BND 100 to initiate a purchase order. A neon light kept in storage is estimated to cost about BND 0.02 per day. The lead time between placing and receiving an order is 12 days. Determine the optimal inventory policy for ordering the neon lights

discuss the difference and similarties between maximization and minimization problem using the graphical soluton method for LP.

Maximize:4x₁+12x₂

subject to:

3x₁+x₂<=180

x₁+2x₂<=100

-2x₁+2x₂<=40

X₁>=0

x2>=0

Find the optimal solution for the above model

suppose a local shoemaker makes two types of shoes: sandal and boots. suppose each pair of sandals requires 8 hours of design and sewing work and 4 hours of assembly and finishing. each pair of boots requires 8 hours of for design and sewing and 12 hours of assembly and finishing. furthermore, the total number of hours allocated for design and sewing for wok is 160 and the total available hours for assembly and finishing work is 180 hours. finally, to ensure quality of the shoes, the pairs of shoes produced must be less than or equal to 15. how many pairs of sandals and how many pairs of boots can be made under these conditions? suppose the selling price on each pair of sandals is p1,500 and the selling price for each pair of boots is p2,000. how many each of each type of shoes should the manufacturer make to earn the greatest sales revenue?

Suppose a local shoemaker makes two types of shoes: sandal and boots. Suppose each pair of sandals requires 8 hours of design and sewing work and 4 hours of assembly and finishing. Each pair of boots requires 8 hours of for design and sewing and 12 hours of assembly and finishing. Furthermore, the total number of hours allocated for design and sewing for wok is 160 and the total available hours for assembly and finishing work is 180 hours. Finally, to ensure quality of the shoes, the pairs of shoes produced must be less than or equal to 15. How many pairs of sandals and how many pairs of boots can be made under these conditions? Suppose the selling price on each pair of sandals is P1,500 and the selling price for each pair of boots is P2,000. How many each of each type of shoes should the manufacturer make to earn the greatest sales revenue?