Find the maxium valve c=6x+2y. subject to the following constraints x≥0, x≤5, y≥0, 4x-y≥1

The maximum value of C is 68

Step-by-step explanation:

we have the following constraints

----> constraint A

----> constraint B

----> constraint C

----> constraint D

Find out the area of the feasible region, using a graphing tool

The vertices of the feasible region are

(0,0),(5,19),(5,0)

see the attached figure

To find out the maximum value of the objective function C, substitute the value of x and the value of y of each vertex in the objective function and then compare the results

For (0,0) ----->

For (5,19) ----->

For (5,0) ----->

therefore

The maximum value of C is 68

answer: an 8-foot rope is tied from the top of a pole to a

stake in the ground, as shown in the diagram

below

step-by-step explanation: