Firm X can choose between two technologies, A and B, to produce widgets.

Technology A will require the firm to pay $30,000 today and will allow the firm to produce UP TO 100,000 widgets one year from now at a variable cost of $1.50 per widget. (Suppose that the production of widgets occur, instantaneously, at t=1.)

Technology B will cost the firm $75,000 today and will allow the firm to produce UP TO 100,000 widgets at a variable cost of $1 per widget one year from now.

Suppose that the one-year forward price for widgets is $1.80 per widget. The price of a widget next year will be either $1.20 if the economy is bad or $2.20 if the economy is good.

Assume that rf =5% and that after producing the widgets at t = 1, both technologies become totally obsolete and you will cease all production.

Now suppose that the firm makes the technological choice at t = 0, pays the fixed cost today ($30k for Tech. A, or $75k for Tech B), but can wait until t = 1 to decide how many, if any, widgets to produce. I need the firm's calculated value and choose which technology, A or B, should Firm X choose. Please show calculations.