DETERMINISTIC OPERATIONS RESEARCH MODELS

Please help me to sole these problems using 1)Decision Variable 2) Objective Functions 3) Constraints

Alexis Cornby makes her living buying and selling corn. On January 1st, she has 50 tons of corn and $1,000. Alexis can buy corn on the first day of each month and sell corn on the last day of each month at the prices shown in Table 3. Alexis stores her corn in a warehouse that can hold at most 100 tons of corn. She must be able to pay cash for all corn at the time of purchase.

1. a)Formulate a linear programming model to determine how Alexis can maximize her cash on hand at the end of December.

Table 3 - Corn Purchase and Selling Prices Month Purchase Price Selling Price Month Purchase Price Selling Price ($/ton) ($/ton) ($/ton) ($/ton) January 300 250 July 250 500 February 350 400 August 550 550 March 400 350 September 400 350 April 500 550 October 350 650 May 200 300 November 400 700 June 600 150 December 250 400