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In Exercises 7-16, use the method of linear programming to solve the problem.
Pete's Coffees sells two blends of coffee beans: Yusip Blend and Exotic Blend. Yusip Blend is one-half Costa Rican beans and one half Ethiopian beans, and Exotic Blend is one-quarter Costa Rican beans and three-quarters Ethiopian beans. Profit on the Yusip Blend is $3.50 per pound, while profit on the Exotic Blend is $4 per pound. Each day, the shop can obtain 200 pounds of Costa Rican beans and 330 pounds of Ethiopian beans, and it uses that coffee only in the two blends. If the shop can sell all that it makes, how many pounds of Yusip Blend and of Exotic Blend should Pete's Coffees prepare each day to maximize profit? What is that maximum profit?
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Chapter 12 Solutions
Bundle: Mathematics: A Practical Odyssey, 8th + WebAssign Printed Access Card for Johnson/Mowry's Mathematics: A Practical Odyssey, 8th Edition, Single-Term
- Find all values of x for the given function where the tangent line is horizontal. 3 =√x³-12x² + 45x+5arrow_forwardFind the equation of the tangent line to the graph of the given function at the given value of x. 6 f(x) = x(x² - 4x+5)*; x=2arrow_forward7. Suppose that X is a set, that I is a nonempty set, and that for each i Є I that Yi is a set. Suppose that I is a nonempty set. Prove the following:2 (a) If Y; CX for all i EI, then Uiel Yi C X. ¹See Table 4.8.1 in zyBooks. Recall: Nie X₁ = Vi Є I (x = X₁) and x = Uier X₁ = i Є I (x Є Xi). (b) If XCY; for all i Є I, then X Ciel Yi. (c) U(x)=xnUY. iЄI ΕΙarrow_forward
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