ANSWER THE FOLLOWINGA 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 $110. Set T1 = X1 ; T2 =X2 ; Z=ProfitProfit Equation would be:a. Z= 90 x1 + 110 x2b. Z= 1.5 x1 + 2.5 x2c. Z= 2 x1 + 3 x2d. Z= 110 x1 + 90 x2 (2) The solution set of the system of inequalities are the following, except?a. x1+2.5x2≥4000b. 2x1+1.5x2≤5500c. x1≥0d. 2x1+4x2≤7000 (3) How many of type A of tables should be produced in order to maximize the total monthly profit?a. 2,300b. 2,750c. 1,750d. 1,500 (4) How many of type B of tables should be produced in order to maximize the total monthly profit?a. 600b. 500c. 700d. 1400 (5) What would be the maximum profit ($) ?a. 273,000b. 212,000c. 324,500d. 813,300

LPP of given problem is given by Maximize Z = 90x1 + 110x2 Subject to constraints 2x1 + 4x2 ≤…

Answered: A company produces two types of tables,…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter11: Systems Of Equations

Section11.CT: Test

Problem 24CT

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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?