On a tropical island there are 100 potential boat builders, numbered 1 through 100. each can build up to 16 boats a year, but anyone who goes into the boatbuilding business has to pay a fixed cost of $15. marginal costs differ from person to person. where y denotes the number of boats built per year, boat builder 1 has a total cost function c(y) = 15 + y. boat builder 2 has a total cost function c(y) = 15 + 2y, and more generally, for each i, from 1 to 100, boat builder i has a cost function c(y) = 15 +iy. if the price of boats is 40, how many boats will be built per year? a. 624 b. 200 c. 936 d. 400 e. any number between 640 and 656 is possible.

You want to make an investment in a continuously compounding account over a period of two years. what interest rate is required for your investment to double in that time period? round the logarithm value and the answer to the nearest tenth.

Solomon chemical company makes three products, b7, k6, and x9, which are joint products from the same materials. in a standard batch of 320,000 pounds of raw materials, the company generates 70,000 pounds of b7, 150,000 pounds of k6, and 100,000 pounds of x9. a standard batch costs $3,840,000 to produce. the sales prices per pound are $10, $14, and $20 for b7, k6, and x9, respectively. (a) allocate the joint product cost among the three final products using weight as the allocation base. (b) allocate the joint product cost among the three final products using market value as the allocation base. (c) allocate the joint product cost among the three final products using weight as the allocation base.

Oz makes lion food out of giraffe and gazelle meat. giraffe meat has 18 grams of protein and 36 grams of fat per pound, while gazelle meat has 36 grams of protein and 18 grams of fat per pound. a batch of lion food must contain at least "46,800" grams of protein and 70,200 grams of fat. giraffe meat costs $1/pound and gazelle meat costs $2/pound. how many pounds of each should go into each batch of lion food in order to minimize costs? hint [see example 2.]