Prove that the number of permutations of at most m a's and at most n b's equals

The market for corn in country a is highly competitive. at the current market price of $5/bushel there is a shortage of 100,000 bushels of corn in this country. media reports claim that the price of corn will rise drastically in the near future. according to these reports, the neighboring country b had witnessed a similar situation recently. at the same price, the shortage in country b was also 100,000 bushels and eventually the equilibrium price in b went up to $10/bushel. both countries are known to have equal number of corn producers and the market supply of corn is identical at all prices. this, combined with the fact that consumers in the two countries also have similar tastes and preferences, led the media to conclude that the price of corn in country a would soon be as high as $10/bushel. the new equilibrium price turns out to be below $10/bushel, what inferences can be drawn?

The following information relates to wagner, inc.: advertising costs $ 18 comma 600 administrative salaries 17 comma 800 delivery vehicle depreciation 1 comma 500 factory repair and maintenance 600 indirect labor 10 comma 000 indirect materials 18 comma 000 manufacturing equipment depreciation 3 comma 000 office rent 58 comma 000 president's salary 1 comma 100 sales revenue 600 comma 000 sales salary 5 comma 200 how much were wagner's period costs

When slick heating company switched to an activity based costing system, it realized that it was allocating a much lower percentage of factory overhead to a product line that the marketing department was trying to push. the product line may contain which type of products?