Lesson: Linear Programming Mathematics
In this lesson, we will learn how to find the optimal solution of a linear system that has an objective function and multiple constraints.
Determine the values of and that maximize the function . Write your answer as a point .
Using linear programming, find the minimum and maximum values of the function given that , , , and .
A seafood restaurant sells two types of cooked fish; cod and eel. The restaurant sells NO LESS than 40 fish every day but it does not use more than 30 cod and no more than 45 eels. The price of one cod is 6 LE and that of an eel is 8 LE. Let represent the amount of cod purchased each day, and represent the amount of eel. Given that the manager wants to minimise the total price, , of fish, state the objective function and the inequalities that will help the restaurant manager decide how many of each fish to buy.