There is a factory located at each of the two places P and Q. From these locations a certain commodity is delivered to each of the three depots situated at A, B and C. The weekly requirements of the depots are respectively 5, 5 and 4 units of the commodity while the production capacity of the factories at P and Q are respectively 8 and 6 units. The cost of transportation per unit is given below.

Formulate the above LPP mathematically in order thaet transportation const in minimum. Solve the I.P.P.

There are two factories located at place P and the other the place Q. From these locations, a certain commodity is to be delivered to eachof the three depots situated A, B and C. the weekly requirement of the de-pots are respectively 5,5 and 4 units of the commodity while the production capacity of the factories at P and Q are respectively 8 and 6 units. The cost of transportation per unit is gien below. How many units should be transported from each factory to each depot in order that the transportation cost in minimum ? What whill be the minimum transportation cost ?

A medicien company has factories at two places A and B. From these places, supply is made to each of its three agencies situated at P,Q and R. The monthly requirements of the agencies are respectively 40,40 50 packets of its medicines, while the production of the factories at A and B are 60 and 70 packets respectively. The transportation cost (in Rs) per packet from the factories to the agencies are given below. Formulate the linear programming problem so that the cost of transportation is minimum .

If pto(~pvvq) is false, then p and q are respectively

If p to (qvvr) is false, then the truth values of p,q, and r are, respectively.

The distance of two points P and Q on the parabola y^(2) = 4ax from the focus S are 3 and 12 respectively. The distance of the point of intersection of the tangents at P and Q from the focus S is

An oil company has two depots A and B with capacities of 7000 L and 4000 L respectively. The company is to supply oil to three petrol pumps, D, E and F whose requirements are 4500L, 3000L and 3500 L respectively, the distances(in km) between the depots and the petrol pumps is given in the following table: Assuming that the transportation cost of 10 litres of oil is 1 per km, how should the delivery be scheduled in order that the transportation cost is minimum? What is the minimum cost?

There are two sets A and B each of which consists of three numbers in A.P.whose sum is 15 and where D and d are the common differences such that D-d=1. If p/q=7/8 , where p and q are the product of the numbers ,respectively, and d gt 0 in the two sets . The sum of the products of the numbers is set A taken two at at time is

Find the unit vector in the direction of vector vec(PQ) , where P and Q are the points (1, 2, 3) and (4, 5, 6) respectively.

A die is thrown three times, A: 4 appears on the third toss, B: 6 and 5 appear respectively on first two tosses. Determine P(A|B)

In a factory which manufactures bolts, machine A, B and C manufacture respectively 25%, 35% and 45% of the bolts. Of their outputs 5, 4 and 2 percent are respectively defective bolts. A bolt is drawn at random from the product and is found to be defective. What is the probability that if is manufactured by machine B?