the next two years. Currently, WSDC has $2,000,000 on hand and available for investment. In 6 months, 12 months, and 18 months, WSDC expects to receive an income stream from previous Winston-Salem Development Corporation (WSDC) is trying to complete its investment plans for investments as shown in Table below: 6 Months $500,000 18 Months $380,000 12 Months Income $400,000 There are two development projects in which WSDC is considering participation. 1 The Foster City Development would, if WSDC participated at a 100% level, have the projected cash flow shown in Table below (NOTE: negative numbers are investment, positive numbers are income. Thus, in order to participate in Foster City at the 100% level, WSDC would immediately have to lay out $1,000,000. In 6 months there would be another outlay of $700,000, and so on.) Initial -1,000,000 6 Months -700,000 12 Months 1,800,000 18 Months 400,000 24 Months 600,000 Income 2. The Middle Income Housing, a second project involves taking over the operation of some old Middle-Incoming Housing on the condition that certain initial repairs be made. The cash flow stream for this project, at a 100% level of participation, would be as shown below: Initial -800,000 6 Months 500,000 12 Months 24 Months 2,000,000 18 Months Income -200,000 -700,000 Because of company policy, WSDC is not permitted to borrow money. However, at the beginning of each 6-month period, all surplus funds (those not allocated to either Forster City or Middle- Income Housing) can be invested for a fixed return of 7% for that 6-month period. WSDC can participate in any project at any level less than 100%, in which case all of the cash flows of that project are reduced proportionately. For example, if WSDC were to opt for participation in Foster City at the 30% level, the cash flows associated with this decision would be 0.3 times the data in Table for Foster City. WSDC needs to decide how much of the $2,000,000 on hand should be invested in each of the projects and how much should simply be invested for the 7% semi-annual return. WSDC Management's goal is to maximize the cash on hand at the end of 24 months. Formulate this problem as an LP model.,