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APPLIED MATHEMATICS Assignment # 3 GROUP 6 : Charlotte O. Tang Ritchie Roi Chua Ramon Naguiat Mark Anthony Salazar Mary

APPLIED MATHEMATICS Assignment # 3 GROUP 6 : Charlotte O. Tang Ritchie Roi Chua Ramon Naguiat Mark Anthony Salazar Mary Jane Pagmulotan Tong Ya. THE PROBLEM : Page 257, # 25.

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APPLIED MATHEMATICS Assignment # 3 GROUP 6 : Charlotte O. Tang Ritchie Roi Chua Ramon Naguiat Mark Anthony Salazar Mary

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  1. APPLIED MATHEMATICS Assignment # 3 GROUP 6 : Charlotte O. Tang Ritchie Roi Chua Ramon Naguiat Mark Anthony Salazar Mary Jane Pagmulotan Tong Ya

  2. THE PROBLEM : Page 257, # 25 A manufacturer can produce radios at a cost of Php48.00, and estimates that, if they are sold for P pesos each, consumers will buy 50-p radios a day. At what unit price should the manufacturer sell the radios to maximize his profit? What is the maximum profit he can obtain?

  3. Let x be the number of radios y be the profit *At P pesos each, x=50-py = (x) (p) - 48xy = (50-p)(p) - 48(50-p) = 50p-p2-2400+48py = -p2+98p-2400D(y) = -2p+98 ; Setting D(y) = 0 : - 2p + 98 = 0 p = 49When p = 49 : y = - (49) 2 + 98 (49) - 2400 = - 2401 + 4802 - 2400y = 1

  4. To check whether p = 49 is a Min/Max :D2(y) = - 2Since D2(y) < 0 : p = 49 is a MAXIMUM pt. At Php 49.00 per radio, the manufacturer maximizes his profit, the maximum profit that will be obtained is Php 1.00

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