Use the following problem statement to answer questions 1-3. A company grows apples that they harvest each fall and make into three products: apple butter, applesauce, and apple jelly. They sell these three items at several local grocery stores, at craft fairs in the region, and at their own Pumpkin Festival for 2 weeks in October. Their three primary resources are cooking time in their kitchen, their own labor time, and the apples. They have a total of 1,300 cooking hours available, and it requires 5.4 hours to cook a 10-gallon batch of apple butter, 3.8 hours to cook 10 gallons of applesauce, and 4.6 hours to cook 10 gallons of jelly. A 10-gallon batch of apple butter requires 1.2 hours of labor, a batch of sauce takes 0.8 hour, and a batch of jelly requires 1.5 hours. The company has 240 hours of labor available during the fall. They produce about 6,000 apples each fall. A batch of apple butter requires 20 apples, a 10- gallon batch of applesauce requires 40 apples, and a batch of jelly requires 30 apples. After the products are canned, a batch of apple butter will generate $180 in sales revenue, a batch of applesauce will generate sales revenue of $140, and a batch of jelly will generate sales revenue of $110. The company want to know how many batches of apple butter, applesauce, and apple jelly to produce to maximize their revenues. [Note: X1 = no. of batches of apple butter. X2 = no. of batches of applesauce. X3 = no. of batches of apple jelly.] [T/F] The objective function for the model is Max Z = 180X1 + 140X2 + 110X3. True O False D Question 2 [T/F] One of the constraints for the model is 20X1 + 40X2 + 30X3 6,000. True O False Question 3 [T/F] One of the constraints for the model is 5.4X1 + 3.8X2 + 4.6X3 = 1,300. O True False