Course: CVEG $4304$P$01$ Classwork$2024\_02$Feb$02$A L $1250]$ NAME: Antono L $$K Date: Feb $02\mathrm{.}2024$

You must provide enough details and description of the solution method to demonstrate your knowledge of the solution method. WRITE ON ONLY $1$ SIDE OF PAPER. The scanned submission must be clear and EASY to read.

How much crude oil should be purchased from each source $($Saudi and Venezuela$)$ to maximize PROFIT?

Develop a revised LP model. $[$HINT: ONLY the Objective Function of the model should be modified.$]$

The Constraint set is:

s$.$t$.$

$0\mathrm{.}3x_1+0\mathrm{.}4x_{2}4\mathrm{.}5(gasoline)$

$0\mathrm{.}4x_1+0\mathrm{.}2x_{2}6\mathrm{.}5(jet$ fuel$)$

$0\mathrm{.}2x_1+0\mathrm{.}3x_{2}1\mathrm{.}5(lubricants)$

$x_{1}9$

$x_{2}6$

$x_1,x_{2}0$

$x_1=$ barrels of Saudi crude$/$day $($in thousands$)$

$x_2=$ barrels of Venezuelan crude$/$day $($in thousands$)$

COST $=50x_1+40x_2$

PROFIT $=$ Revenue $-$ COST

HINT: Determine REVENUE expression

Gasoline is sold at:

$$\frac{120}{b}l$

Jet fuel is sold at:

$$\frac{180}{b}l$

Lube is sold at: $$\frac{80}{b}l$

New Objective function $($complete below$)$:

Maximize PROFIT $=$

SHOW WORK BELOW. But place final expression in BOX above.