Please I need it in 20mins time please Q 3. A company manufactures and sells a smartphones
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Q 3. A company manufactures and sells a smartphones per month. The monthly cost and price demand equations are C(x) = 72, 000 + 60r p = 200 30 0S2< 6000 (a) Find the maximum revenue. (b) Find the maximum profit, the production level that will realize the maximum profit, and the price the company should charge for each Smartphone. (c) If the government decides to tax the company 5 Cedis for each Smartphone it produces, how many smartphones should the company manufacture each month to maximize its profit? What is the maximum profit? What should the company charge for each Smartphone? [25 points] Q 4. (a) Determine the values of a and b that make the function f(x) continuous for all real numbers. 2-16 r < 4 1-4 f(x) = ar - br +3 4<a < 6 2.x – a +b x 2 6 (b) Obtain f'(x) and determine its continuity. [25 points] Q 5. The weekly marginal revenue from the sale of r pairs of shoes is given by 400 R(x) = 50 – 0.032 sin(r) + R(0) = 0 2x +1 where R(x) is revenue in Cedis. (a) Find the revenue function. Find the revenue from the sale of 1,000 pairs of shoes. [25 points] Q 3. A company manufactures and sells a smartphones per month. The monthly cost and price demand equations are C(x) = 72, 000 + 60r p = 200 30 0S2< 6000 (a) Find the maximum revenue. (b) Find the maximum profit, the production level that will realize the maximum profit, and the price the company should charge for each Smartphone. (c) If the government decides to tax the company 5 Cedis for each Smartphone it produces, how many smartphones should the company manufacture each month to maximize its profit? What is the maximum profit? What should the company charge for each Smartphone? [25 points] Q 4. (a) Determine the values of a and b that make the function f(x) continuous for all real numbers. 2-16 r < 4 1-4 f(x) = ar - br +3 4<a < 6 2.x – a +b x 2 6 (b) Obtain f'(x) and determine its continuity. [25 points] Q 5. The weekly marginal revenue from the sale of r pairs of shoes is given by 400 R(x) = 50 – 0.032 sin(r) + R(0) = 0 2x +1 where R(x) is revenue in Cedis. (a) Find the revenue function. Find the revenue from the sale of 1,000 pairs of shoes. [25 points]
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Related Book For
College Mathematics for Business Economics Life Sciences and Social Sciences
ISBN: 978-0321614001
12th edition
Authors: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen
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