T=5c + 12f
A manufacturer shipped units of a certain product to two locations. The equation above shows the total shipping cost T, in dollars, for shipping c units to the closer location and shipping cost was $47,000 and 3000 units were shipped to the farther location, how many units were shipped to the closer location ?

A factory uses three different resources for the manufacture of two different productoof the resource A, 12 units of B and 16 unit of C being available. One unit of there quires 2, 2 and 4 units of the respective resources and one unit of the second requires 4,2 and 0 units of respective resources. It is known that the first product givesatof 2 monetary units per unit and the second 3. Formulate the linear programming problem How many units of each product should be manufactured for maximizing the profit? solve it graphically.

The number of units sold, N, of a product follows the realtion N= 120-C, where $C is the selling price per unit. The cost to setup the manufacturing facility is $150 and the cost per unit is $5. If all units are sold, what should be the least selling price, in dollars, per unit to have a profit of $400?

The given pie chart shows the quantity wise sales distribution of five products (A, B, C. D and E) of a company in 2016. If 320 units of product A were sold by the company, then how many units of products B and E together were sold by the company”?

A graduation cap is tossed upward . It is f feet above the ground s seconds after it has been thown . The relation ship between f and s is given by the equation f=60 s-17 s ^(2) , where 0 le s le 3.5 . How many feet above the ground is the cap 3 seconds after it is thrown ?

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 ?

There are two factories located one at place P and the other at place Q. From these locations, a certain commodity is to be 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 : How many units should be transported from each factory to each depot in order that the transportable cost is minimum. When will be the minimum transportation cost?