On a production possibilities frontier (PPF) with Good X on the horizontal axis and Good Y on the vertical axis, we can say that the slope of the PPF (in absolute value) equals the opportunity cost of producing Good X with respect to the production of Good Y. This is true because the slope:

Suppose a ceiling fan manufacturer has the total cost function c(x) = 48x + 1485 and the total revenue function r(x) = 75x. (a) what is the equation of the profit function p(x) for this commodity? p(x) = (b) what is the profit on 35 units? p(35) = interpret your result. the total costs are less than the revenue. the total costs are more than the revenue. the total costs are exactly the same as the revenue. (c) how many fans must be sold to avoid losing money? fans

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In early january, burger mania acquired 100% of the common stock of the crispy taco restaurant chain. the purchase price allocation included the following items: $4 million, patent; $3 million, trademark considered to have an indefinite useful life; and $5 million, goodwill. burger mania's policy is to amortize intangible assets with finite useful lives using the straight-line method, no residual value, and a five-year service life. what is the total amount of amortization expense that would appear in burger mania's income statement for the first year ended december 31 related to these items?