A company produces two types of tables, T1 and T2. It takes 2 hours to produce the parts of one unit of T1, 1 hour to assemble and 2 hours to polish. It takes 4 hours to produce the parts of one unit of T2, 2.5 hour to assemble and 1.5 hours to polish. Per month, 7000 hours are available for producing the parts, 4000 hours for assembling the parts and 5500 hours for polishing the tables. The profit per unit of T1 is $90 and per unit of T2 is $110. Set T1 = X1 ; T2 =X2 ; Z=Profit Profit Equation would be: a. Z= 90 x1 + 110 x2 b. Z= 1.5 x1 + 2.5 x2 c. Z= 2 x1 + 3 x2 d. Z= 110 x1 + 90 x2 (2) The solution set of the system of inequalities are the following, except? a. x1+2.5x2≥4000 b. 2x1+1.5x2≤5500 c. x1≥0 d. 2x1+4x2≤7000 (3) How many of type A of tables should be produced in order to maximize the total monthly profit? a. 2,300 b. 2,750 c. 1,750 d. 1,500 (4) How many of type B of tables should be produced in order to maximize the total monthly profit? a. 600 b. 500 c. 700 d. 1400
A company produces two types of tables, T1 and T2. It takes 2 hours to produce the parts of one unit of T1, 1 hour to assemble and 2 hours to polish. It takes 4 hours to produce the parts of one unit of T2, 2.5 hour to assemble and 1.5 hours to polish. Per month, 7000 hours are available for producing the parts, 4000 hours for assembling the parts and 5500 hours for polishing the tables. The profit per unit of T1 is $90 and per unit of T2 is $110. Set T1 = X1 ; T2 =X2 ; Z=Profit Profit Equation would be: a. Z= 90 x1 + 110 x2 b. Z= 1.5 x1 + 2.5 x2 c. Z= 2 x1 + 3 x2 d. Z= 110 x1 + 90 x2 (2) The solution set of the system of inequalities are the following, except? a. x1+2.5x2≥4000 b. 2x1+1.5x2≤5500 c. x1≥0 d. 2x1+4x2≤7000 (3) How many of type A of tables should be produced in order to maximize the total monthly profit? a. 2,300 b. 2,750 c. 1,750 d. 1,500 (4) How many of type B of tables should be produced in order to maximize the total monthly profit? a. 600 b. 500 c. 700 d. 1400
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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ANSWER THE FOLLOWING
A company produces two types of tables, T1 and T2. It takes 2 hours to produce the parts of one unit of T1, 1 hour to assemble and 2 hours to polish. It takes 4 hours to produce the parts of one unit of T2, 2.5 hour to assemble and 1.5 hours to polish. Per month, 7000 hours are available for producing the parts, 4000 hours for assembling the parts and 5500 hours for polishing the tables. The profit per unit of T1 is $90 and per unit of T2 is $110.
Set T1 = X1 ; T2 =X2 ; Z=Profit
Profit Equation would be:
a. Z= 90 x1 + 110 x2
b. Z= 1.5 x1 + 2.5 x2
c. Z= 2 x1 + 3 x2
d. Z= 110 x1 + 90 x2
(2) The solution set of the system of inequalities are the following, except?
a. x1+2.5x2≥4000
b. 2x1+1.5x2≤5500
c. x1≥0
d. 2x1+4x2≤7000
(3) How many of type A of tables should be produced in order to maximize the total monthly profit?
a. 2,300
b. 2,750
c. 1,750
d. 1,500
(4) How many of type B of tables should be produced in order to maximize the total monthly profit?
a. 600
b. 500
c. 700
d. 1400
(5) What would be the maximum profit ($) ?
a. 273,000
b. 212,000
c. 324,500
d. 813,300
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