Solve the problem.Find the number of units that must be produced and sold in order to yield the maximum profit, given the following equations for revenue and cost:R(x) = 50x - 0.5x2C(x) = 4x + 3.

A. 49 units
B. 47 units
C. 46 units
D. 54 units


Answer: C

Mathematics

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Set up the linear programming problem.A steel company produces two types of machine dies, part A and part B and is bound by the following constraints:? Part A requires 1 hour of casting time and 10 hours of firing time. ? Part B requires 4 hours of casting time and 3 hours of firing time.? The maximum number of hours per week available for casting and firing are 100 and 70, respectively.? The cost to the company is $0.75 per part A and $3.00 per part B. Total weekly costs cannot exceed $45.00.Let x = the number of part A produced in a week and  number of part B produced in a week. Write a system of three inequalities that describes these constraints.

A.

B.

C.

D.

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A. 0.00002438 B. 0.0000002438 C. -2,438,000 D. 0.000002438

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