Information on a prospective investment for Wells Financial Services is given below. Period 1 2 3 4 Loan Funds Available 3000 7000 4000 5000 Investment Income (% of previous period's investment) Maximum Investment Payroll Payment 110% 112% 113% 4500 8000 6000 7500 100 120 150 100 In each period, funds available for investment come from two sources: loan funds and income from the previous period's investment. Expenses, or cash outflows, in each period must include repayment of the previous period's loan plus 8.5% interest, and the current payroll payment. In addition, to end the planning horizon, investment income from period 4 (at 110% of the investment) must be sufficient to cover the loan plus interest from period 4. The difference in these two quantities represents net income, and is to be maximized. How much should be borrowed and how much should be invested each period?

Essentials of Economics (MindTap Course List)
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ISBN:9781337091992
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter19: The Basic Tools Of Finance
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Don not solve list the objective function and  contraints using variables

Information on a prospective investment for Wells Financial Services is given below.
Period
1
2
3
4
Loan Funds Available
3000
7000
4000
5000
Investment Income
(% of previous period's investment)
Maximum Investment
Payroll Payment
110%
112%
113%
4500
8000
6000
7500
100
120
150
100
In each period, funds available for investment come from two sources: loan funds and income from
the previous period's investment. Expenses, or cash outflows, in each period must include
repayment of the previous period's loan plus 8.5% interest, and the current payroll payment. In
addition, to end the planning horizon, investment income from period 4 (at 110% of the investment)
must be sufficient to cover the loan plus interest from period 4. The difference in these two
quantities represents net income, and is to be maximized. How much should be borrowed and how
much should be invested each period?
Transcribed Image Text:Information on a prospective investment for Wells Financial Services is given below. Period 1 2 3 4 Loan Funds Available 3000 7000 4000 5000 Investment Income (% of previous period's investment) Maximum Investment Payroll Payment 110% 112% 113% 4500 8000 6000 7500 100 120 150 100 In each period, funds available for investment come from two sources: loan funds and income from the previous period's investment. Expenses, or cash outflows, in each period must include repayment of the previous period's loan plus 8.5% interest, and the current payroll payment. In addition, to end the planning horizon, investment income from period 4 (at 110% of the investment) must be sufficient to cover the loan plus interest from period 4. The difference in these two quantities represents net income, and is to be maximized. How much should be borrowed and how much should be invested each period?
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