U5 - Discussion Question No unread replies. No replies. After having viewed the video clips and worked through the extended reading, please respond to the below discussion prompt. You should post your initial response by the date indicated in the module calendar. Please be sure to reference your sources in appropriate Harvard formatting and to provide substantive evidence of any claims that you make. Where appropriate, include personal anecdotes, statistics, and references to additional reading or materials. After you have posted your initial response, visit the forum again over the coming days to read the responses of your peers. You should respond to at least two other students by asking them to elaborate on a point, providing a counter-argument, suggesting a topic for debate, or referring back to the extended reading or video clips. Question One James is a farmer who owns 8 acres of agriculture land. He can plant the land with maize and sugarcane. He can earn $5,000 for every acre he plants with maize and $3,000 for every acre he plants with sugarcane. His use of a necessary pesticide is limited by government regulations to 10 gallons for his entire 8 acres. Maize requires 2 gallons of pesticide for every acre planted and sugarcane requires just 1 gallon per acre. Given the situation James is facing, he wants to divide the land in a combination of maize and sugarcane plantations, such that he could maximise the profit he receives from his farming business while complying with the government regulations on pesticide use. One way James could achieve his goal is to try the trial and error method, by trying different combinations of maize and sugarcane and seeing how much profit he can make from each combination. However, James daughter, Sara, studies linear programming and she helped her father to solve the problem using linear programming. Question: what combination of maize and sugarcane plantation did Sara suggest to James, and what was the final profit that James achieved with that combination? Question Two You are the finance manager of the firm Sunderland Plastics Limited, which produces two products (X1 and X2) using two different machines (M1 and M2). Each unit of X1 requires 4 hours of processing time on M1 and 2 hours of processing time on M2. Each unit of X2 that gets produced requires a 1 hour processing time on M1 and 1.5-hour processing time on M2. The firm has an available processing time of 40 hours of M1 and 30 hours of M2 available this week. The firm also meets the non-negativity constraints. Your task is the following: The firms makes a net profit of 400 USD from 1 unit of product X1 and 100 USD from 1 unit of product X2 1) Formulate a linear programming problem in the standard form for Sunderland Plastics Limited. 2) Solve the problem graphically and show what combination of the products X1 and X2 the firm should produce to maximise its profit while satisfying the constraints it is facing. How much profit will the firm make