Solve the Problem $x$ Kitcher Tables and Y Dining Room Tables $z = 180 x + 220 y ; 100$

Multiple Choice

Solve the problem.
-A furniture manufacturer builds tables. The cost for materials and labor to build a kitchen table is $270 and the profit is $180. The cost to build a dining room table is $300 and the profit is $220. Let
X represent the number of kitchen tables produced per month. Let y represent the number of dining room
Tables produced per month.
The manufacturing process is subject to the following constraints.
1) The number of each type of table cannot be negative.
2) Due to labor and equipment restrictions, the company can build at most 110 kitchen tables.
3) The company can build at most 70 dining room tables.
4) The company does not want to exceed a monthly cost of $48,000. a. Write an objective function representing the monthly profit for producing and selling $x$ kitcher tables and y dining room tables.
b. How many kitchen tables and how many dining room tables should be produced to maximize profit? (Assume that all tables produced will be sold.)

A) $z = 180 x + 220 y ; 100$ kitchen tables and 70 dining room tables
B) $z = 220 x + 180 y ; 61$ kitchen tables and 110 dining room tables
C) $z = 180 x + 220 y ; 110$ kitchen tables and 61 dining room tables
D) $z = 220 x + 180 y ; 70$ kitchen tables and 100 dining room tables