Each coffee table produced by Robert West Designers nets the firm a profit of $9. Each bookcase yields a $12 profit. Wests firm is small and its resources limited. During any given production period, 10 gallons of varnish and 12 lengths of high-quality redwood are available. Each coffee table requires approximately 1 gallon of varnish and 1 length of redwood. Each bookcase takes 1 gallon of varnish and 2 lengths of wood.

Formulate Wests production-mix decision as a linear programming problem, and solve. How many tables and bookcases should be produced each week? What will the maximum profit be?

Use:

x = number of coffee tables to be produced y = number of bookcases to be produced

For the problem above, which of the following could be a corner point for the feasible region?

a.

(6,0)

b.

(10,0)

c.

(12, 0)

d.

(0, 10)

A second hand car dealer has 7 cars for sale. She decides to investigate the link between the age of the cars, x years, and the mileage, y thousand miles. The date collected from the cars is shown in the table below.

Age, x Year	2	3	7	6	4	5	8
Mileage, y thousand	20	18	15	24	29	21	20

Calculate the b value in the form y= a+ bx

a.

23

b.

2.1

c.

10

d.

(0.4)

A second hand car dealer has 7 cars for sale. She decides to investigate the link between the age of the cars, x years, and the mileage, y thousand miles. The date collected from the cars is shown in the table below.

Age, x Year	2	3	7	6	4	5	8
Mileage, y thousand	20	18	15	24	29	21	20

Find the least square regression line in the form y = a + bx.

a.

Y= 23- 0.4 X

b.

Y= 23 + 4 X

c.

Y= 10 + 53 X

d.

Y= 43 + 10 X

Each coffee table produced by Robert West Designers nets the firm a profit of $9. Each bookcase yields a $12 profit. Wests firm is small and its resources limited. During any given production period, 10 gallons of varnish and 12 lengths of high-quality redwood are available. Each coffee table requires approximately 1 gallon of varnish and 1 length of redwood. Each bookcase takes 1 gallon of varnish and 2 lengths of wood.

Formulate Wests production-mix decision as a linear programming problem, and solve. How many tables and bookcases should be produced each week? What will the maximum profit be?

Use:

x = number of coffee tables to be produced y = number of bookcases to be produced

Determine the possible two constraints of the problem

a.

2X+ Y 12, X+Y 10

b.

X+Y 9, X+ 2 Y 12

c.

X+Y 10, X+ 2 Y 12

d.

X+Y 12, X+ 2 Y 10