Need help with both questions, please! Formulate but do not solve the following

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Need help with both questions, please!

Formulate but do not solve the following exercise as a linear programming problem. A nancier plans to invest up to $500 000 in t projects. Project A yields a return of 11% on the investment ofx ol ars whereas Project B yields a return of 16% on the investment of y dollars. Because the investment in Project B is riskier than the investment in Project A, the financier has decided that the investment in Project B should not exceed 40% o the total investment. Ho much should he invest in each project to maximize the return on her investment in dollars? subject to the constraints amount available for investment allocation of funds Talk to a Tutor -5 points Ta-Fin11 32 012 0/6 Submissions Used My Notes Ask Your Teach Formulate but do not solve the following exercise as linear programming problem. Deluxa River Cruises operates a fleat of river vessals. The fleot has two types of vasals: A type A vessal, x, has 65 deluxo cabins and 170 standard cabins, wharaas a typo 8 vessal, y, has 0 daluxe cabins and 125 standard cabins. Undar a chartar agreement with Odyssey Travel Agency, Deluxe River Cruises is to provide Odyssey with a minimum of 350 deluxe and 670 standard cabins for their 15-day cruise in May. It costs $48,000 to operate a type A vessel and $53.000 to operate a type B vessel for that period. Hov many of each type of vessel should be used in order to keep the operating costs, C (in dollars), to a minimum? Minimize subject to the constraints deluxe cabins standard cabins

Explanation / Answer

x + y = 500,000 ... (1)

y = 0.40 (x+y)

or y = 0.67x

Putting this value in equation 1,

1.67 x = 500,000

or x = 300,000

therefore y = 200,000

Investment in Project A - $ 300,000

Investment in Project B - $ 200,000

Maximum Return = 0.6 * 11% + 0.4* 16% = 6.6+6.4=13%

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