QUESTION 2. the feasible region shows the number of chairs x and tables y that a furniture company can build each week.part a)can the company build 12 chairs and 5 tables? explain.part b) can the company build 18 chairs and 3 tables ? explain part c) one week, te company decides to build 4 tables. how many chairs can the company build?

Answer:Part a) The company can not build 12 chairs and 5 tablesPart b) The company can build 18 chairs and 3 tablesPart c) The company  can build 12,13,14,15,16 or 17 chairs Step-by-step explanation:we know thatIf a ordered pair is a solution, then the ordered pair must be belong to the feasible region of the graphPart a) Can the company build 12 chairs and 5 tables?In this problem we have the ordered pair A(12,5)Plot  and verify if the point belong to the feasible region of the graphsee the attached figure to better understand the problemThe point A is not on the feasible regionthereforeThe company can not build 12 chairs and 5 tablesPart b) Can the company build 18 chairs and 3 tables?In this problem we have the ordered pair B(18,3)Plot  and verify if the point belong to the feasible region of the graphsee the attached figure to better understand the problemThe point B is on the feasible regionthereforeThe company can build 18 chairs and 3 tablesPart c) One week, the company decides to build 4 tables. how many chairs can the company build?For y=4Find the value of x in the graphThe solutions point for y=4 tables are(12,4), (13,4),(14,4),(15,4),(16,4) and (17,4)thereforeThe company  can build 12,13,14,15,16 or 17 chairs