Write down your answers for this essay question on a piece of paper, including your name, then take a picture of this paper, and upload the picture to submit your answer. A firm that plans to expand its product line must decide whether to build a small or a large facility to produce the new products. - II it builds a small facility and demand is low, the profit will be $400,000. If demand is high, the firm can either maintain the small facility or expand it. Expamion would have a profit of $450,000, and maintaining the spall facility would have a profit of $50,000. - If a large faciliy is built and demand is hight the profit wirbe $800,000. If demand turns out to be low, the profit will be $10,000. - The probabily that demand will be high is estimated to be 0.60 , and the probability of low demand is estimated to be 0.4. a. Construct a decision tiee to select the proper size of plant (9pts). b. What is the expected payoff of bulding small focility? (1.5 pts) c. What is the expected payoff of bulding large facility (1.5 pts) d. Wrich option (building small vsi large facity) should be selectedr Why? (t pts)