The manager of FYZ Incorporated has been presented with some information on two juice products one with an apple flavor (A) and the another with a banana flavor (B). She is told that the apple flavored drink costs $30 per gallon to produce while the banana flavored one is more expensive at $45 per gallon.Her supervisor wants her to create linear program to determine how best to minimize these costs subject to the following constraints:

5A + 2B >= 100 4A + 8B >= 240 B>=20 A&B>=0

In the space provided below, craft the necessary linear program. Once crafing the lp, run it once with its sensitivity report.

A 30 B 42

Objective Function (30*A)+(45*B)

What is the dual value for the RHS value and range of feasibility for the first constraint?

By what amount and direction would the objective function change if the RHS of the first constraint was loosened to 110?

I really need help with how to insert correct formulas into linear programing.