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A philanthropist wishes to develop a mathematical model to help him decide how to donate his spare cash to several worthy causes. He has $10million to distribute among the recipients, and he would like to donate in units of thousands of dollars. Three organizations would like to receive funds: our Great State university, the friends of the Grand Opera, and the save the Humuhumunukunukuapua'a Society. The philanthropist wants to give at most 50% of his cash to any one organization. The desirability of the philanthropist' section giving to any particular recipient is to be measured in terms of the number of tax credits he will receive. The value of giving to an education institution is rated at 10 credits for every $1000 donation, while the value of the $1000 donation is to the music lovers is rated at 8 credits, and each $1000 donation to the wildlife conservation is rated at 6 credits. Find a linear programming model to help this philanthropist maximize the number of tax credits that can be achieved by contributing among these three groups.
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