4. 110 pts.] Firm X can choose heme-en two technologies, it and B, to produce widgets. I Technology will require the rm to pay $30,000 13313; and will allow the rm to produce UP TO 100,000 widgets W at a variable cost of $1.50 per widget. (Suppose that the production ot'widgets occur, instantaneously, at t=1.) I Technology B will cost the rm $75,000 Dodgy and will allow the rm to produce UP TO 100,000 widgets at a variable cost of $1 per widget W I Suppose that the oneyear forward price for widgets is $1.80 per widget; The price of a widget next year will he either $1.20 if the economy is bad or $2.20 if the economy is good. I Assume that ry=5% and that after producing the widgets at t = 1, both technologies become totally obsolete and you will cease all production. a. Suppose that both technologies fine the rm to produce 100,000 widgets one year from today. What is the rm's value and which technology should Firm X choose? {Hint you don't need real option analysis to answer this part). 1). Now suppose that the rm makes the technological choice at t = 0, but can wait until t = 1 to decide how many, if any, widgets to produce. What is the rm's value and which technology should Firm X choose in this case