Question: GRAPH USING EXCEL I WILL DOWNVOTE IF INCOMPLETE A small Alberta refinery blends three types of refined petroleum to produce two commercial gasoline products: automobile
GRAPH USING EXCEL I WILL DOWNVOTE IF INCOMPLETE


A small Alberta refinery blends three types of refined petroleum to produce two commercial gasoline products: automobile gasoline and aviation gasoline (also known as AvGas). The petroleum products used for blending the two gasoline have the following characteristics. Octane rating is a measure of the quality of a gasoline - the higher the octane rating, the better the performance of the engine. Clearly, aviation fuel will require a higher octane rating than automobile fuel. Sulfur is one of the leading contributors to air pollution. Recent guidelines require sulfur content of fuels to be less than 500 parts per million. The following table shows the required characteristics of the two blended gasolines. For the next three months the refinery has 30,000bbl of petroleum A available, 100,000bbl of petroleum B, and 70,000 bbl of petroleum C. (A barrel of oil denoted bbl, is equivalent to 159 litres.) The refinery can sell as much automobile fuel as it blends, but the maximum demand for aviation fuel is 20,000bbl, since AvGas is only sold to owners of private jets at a small municipal airport. The estimated average selling price of automobile gas at the pump is expected to be $0.85 per litre, and aviation fuel can be sold at $1.40 per litre. (a) Formulate a linear program to maximize revenue from the sales of auto and aviation gasoline over the next three months. The table below suggests the definitions of decision variables. For example, A, B, and C respectively are the number of bbl of petroleum A, B, and C. V and T are the number of bbl aviation and auto fuel respectively. The combination of two letters, such as AV, represents the amount of petroleum (A) used to blend the corresponding fuel (aviation fuel). (b) Solve the model using Excel. (c) Specify the octane rating and the sulfur content of aviation gasoline and automobile gasoline
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
