The number of bicycles to maximize the profit if the three models of bicycles 1-, 3- and 10-speed are made both aluminum and steel. The units available of steel is 91800 and the aluminum is 42000 units. These three models of bicycles required 20 , 30 & 40 units of steel and 12 , 21 & 16 units of aluminum. If the maximum profit makes $8 per 1-speed bicycle, $12 per 3-speed bicycle and $24 per 10-speed bicycle.

Question

5. (a) State the Residue Theorem. Your answer should include all the conditions required for the theorem to hold. (4 marks) (b) Let y be the square contour with vertices at -3, -3i, 3 and 3i, described in the anti-clockwise direction. Evaluate に dz. You must check all of the conditions of any results that you use. (5 marks) (c) Evaluate L You must check all of the conditions of any results that you use. ཙ x sin(Tx) x²+2x+5 da. (11 marks)

Answer 1

Question

Chapter 7.5, Problem 5E

(a)

To determine

To calculate: The number of bicycles to maximize the profit if the three models of bicycles 1-, 3- and 10-speed are made both aluminum and steel. The units available of steel is 91800 and the aluminum is 42000 units. These three models of bicycles required 20,30&40 units of steel and 12,21&16 units of aluminum. If the maximum profit makes $8 per 1-speed bicycle, $12 per 3-speed bicycle and $24 per 10-speed bicycle.

(b)

To determine

To calculate: The value of slack variable from the linear programming table that is provided below.

x1 x2x3 s1 s2[.50.75114002295490−251528046035055080]

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