Four projects are available for investment. The projects require the cash flows and yield the net present values (NPV) (in millions) shown in Table 62. If $6 million is available now for investment , find the investment plan that maximizes NPV.

Table 62

Capital budgeting
Note: All cash amounts are in $millions.
Cash outflows and NPVs of projects
	Project 1	Project 2	Project 3	Project 4
Cash outflow	$3	$5	$2	$4
NPV	$5	$8	$3	$7
Projects to invest in (1 if selected, 0 if not)
	Project 1	Project 2	Project 3	Project 4
Cash flow constraint	Outflow		Budget
Total NPV

(a) Write a LINGO statement that sets the variable "value" equal to the larger of v1 or v2.

(b) the capital budgeting problem , which project(s) were selected based on the budgetary constraints?

(c) What was the total NPV for the budget?