In the analysis in the text of products that are substitutes in production we used the example of Surefire Products, a firm that produced two goods, X and Y, with the same production facility. The inverse demand and marginal revenue for X were
PX = 120 - 2QX and MRX = 120 - 4QX
and for Y were
PY = 60 - 1.5QY and MRY = 60 -3QY
One hour on the production facility could produce 2 units of X or 4 units of Y
QX = 2HX and QY = 4HY
Thus the marginal revenue product functions were
MRPX = 240 - 16HX and MRPY = 240 - 48HX
so the horizontal summation yielded the total marginal revenue product function
MRPT = 240 -12HT
Now let the new marginal cost function be
MC = 58 + 2HT
-The firms should sell ______units of X at a price of $______ and ______ units of Y at a price of $______.
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