Linear Programming : Maximizing Profit; Interest and Principle Problem

1. A company makes three products, A, B, and C. There are 500 pounds of raw material available. Each unit of product A requires 2 pounds of raw material, each unit of product B requires 2 pounds of raw material, and each unit of product C requires 3 pounds. The assembly line has 1,000 hours of operation available. Each unit ...continues

Function : f(x) = (x+2)(2x-3). f(-2) =

Problem: f(x) = (x+2)(2x-3). f(-2) = A. 0 B. 4 C. -6 D. -14

Find the equation of a line given two points : (8,6) and (2,-4)

Problem: The equation of the line through (8,6) and (2,-4) is A. 5x-3y = 22 B. y=3/5x = 8/5 C. 3x=4y = 48 D. -4x = 2y = -16

Problem : An item costs $900, has a scrap value of $50, and a useful life of five years. The linear equation relating book value and number of years is:

An item costs $900, has a scrap value of $50, and a useful life of five years. The linear equation relating book value and number of years is: A. BV = -50x + 850 B. BV = -50x + 900 C. BV = -170x + 850 D. BV = -170x + 900

Revenue and Cost Functions and Break-Even Point

A revenue function is R(x) = 22x and a cost function is C(x) = -9x + 341. The break even point is: A. (17, 374) B. (242, 9) C. (11, 242) D. (31.5, 661.5)

Find the linear Equation relating book value and number of years.

An item costs $1300, has a scrap value of $100, and a useful life of six years. The linear Equation relating book value and number of years is: A. BV = -100x + 1300 B. BV = -100x + 1200 C. BV = -200x + 1200 D. BV = -200x + 1300

Solve Systems of Equations : x + 3y = 12 and 4x - y = -17

The solution to the system of equations x + 3y = 12 4x - y = -17 is: A. (3,3) B. (12, -17) C. (-3,5) D. (5,3)

Problem 12

Select the point which is in the feasible region of the system of inequalities: 4x + y < 8 2x + 5y < 18 x > 0, y > 0 A. (2,4) B. (-1,2) C. (1,3) D. (4,1)

Finding the maximum value of a function subject to constraint satisfaction.

The maximum value of z = 20x + 8y subject to 3x + y < 24 6x + 4y < 66 x > 0, y > 0 is: A. 220 B. 160 C. 172 D. 132

Systems of Inequalities and Finding the Minimum Value : 4x + 3y > 72 and 6x + 10y < 174

The minimum value of z = 5x + 15y, subject to 4x + 3y > 72 6x + 10y < 174 x > 0, y > 0 occurs at: A. (0, 17.4) B. (9, 12) C. (18, 0) D. (29,0)