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In Exercise 7, can there be a maximum for
Optimization with Constraint Find the minimum of
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- The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8,000. (a) Find the cost function C when x energy drinks aremanufactured. (b) Find the revenue function R when x drinks are sold. (c) Show the break-even point by graphing both the Revenue and Cost functions on the same grid. (d) Find the break-even point. Interpret what the breakeven point means.arrow_forwardAt the Pizza Dude restaurant, a 12-in. pizza costs 5.40 to make, and the manager wants to make at least 4.80 from the sale of each pizza. If the pizza will be sold by the slice and each pizza is cut into 6 pieces, what is the minimum charge per slice?arrow_forwardFind the minimum value of f(x1, x2, x3) = 14x₁ + 13x2 + 9xy subject to the following constraints. Write the exact answer. Do not round. If the function has no minimum value, write None. Answer x₁ + 4x₂ + 4xy 2 16 x₁ + 5x₂ + x3 2 12 5x₁ + x₂ + x3 24 Minimum value= Keypad Keyboard Shortcutarrow_forward
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- Find the maximum and minimum values of the function f with constraint 64(x² + y²) ≤ 3.arrow_forwardMaximize xy, subject to the constraint x² - y = 3. 1. List the point(s) where this maximum occurs: 2. State the maximum value: Answer Format If there is more than one point, type your answer as a comma separated list. For example: (a1, b₁), (a2, b₂)arrow_forward
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