A manufacturer makes two types of rubber, Butadiene and ...

[jerry coleman]

A manufacturer makes two types of rubber, Butadiene and Polyisoprene. The plant has two machines, Machine-1 and Machine-2, which are used to make the rubber strips.Manufacturin g one strip of Butadiene requires 2.75 hours on Machine-1 and 3 hours on Machine-2 . Processing one strip of Polyisoprene, takes 3.5 hours on Machine-1 and 4 hours on Machine-2 . Machine-1 is available 180 hours per month, and Machine-2 is available 200 hours per month.Formulate an all-integer mathematical model that will determine how many units of each type of rubber should be produced to maximize profits if the profit contributions of Butadiene and Polyisoprene are 20 and 26, respectively.

Question 2

When the mean value of the dependent variable is independent of variation in the independent variable, the slope of the regression line is
 a. positive. b. zero.
  c. negative. d. infinite.

[matt95]

Answer to Question 1

Let B = Number of units of Butadiene produced
P = Number of units of Polyisoprene produced
Max 20B + 26P
s.t. 75B + 3.5P  180
3B + 4P  200
B, P  0 and integer

Answer to Question 2

b
RATIONALE: When the mean value of the dependent variable is independent of the variation in the independent variable, the slope of the regression line is zero.

[jerry coleman]

Thanks for the timely response, appreciate it

[Bigfoot1984]

Excellent