Suppose we have a problem as follows:

A manager is determining how many tables and how many chairs to produce so as to maximize the total profit. He has collected data as in the table below.

A linear program is formulated for this problem Max 70X1 + 50X2 (objective function)

S.T. 4X1 + 3X2 <= 240 (constraint 1)

2X1 + X1 <= 100 (constraint 2)

X1, X2 >= 0

in which X1 = number of tables to produce,

X2 = number of chairs to produce.

Choose your answer (by highlighting) in each of the following questions about the above linear program :

(2.1) There is a term 70X1 in the objective function. What does that term 70X1 mean?

a. 70X1. b. Profit per table. c. Profit per chair.

d. Total profit of X1 tables. e. Total profit of X1 chairs.

e. Total profit of 70 tables. f. Total profit of 70 chairs.

(2.2) There is a term 2X1 in Constraint 2. What does that term 2X1 mean?

b. Total carpentry hours needed for 2 tables.

c. Total painting hours needed for 2 tables.

d. 2 carpentry hours are needed for X1 tables.

e. 2 painting hours are needed for X1 chairs.

f. Total carpentry hours needed for X1 tables.

g. Total painting hours needed for X1 tables.

h. Total painting hours available.

(2.3) The left-hand-side of constraint 2 is 2X1+X1. What does that (2X1+X1) mean?

a. Total carpentry hours available.

b. Total painting hours available.

c. Total carpentry hours to be used.

d. Total painting hours to be used.

e. Total profit.

(2.4) In the linear program, _____________ represents total carpentry hours available.

a. 70X1 b. 50X2 c. 70X1+50X2

d. 4X1 e. 3X2 f. 4X1+3X2

g. 2X1 h. X2 i. 2X1+X2

j. 240 k. 100