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Arival company manufactures fuel tanks for cars using a different production technique. the total weekly cost (in dollars) of producing x tanks is given by c(x) = 10000 +90x - 0.04x2 find the marginal cost at a production level of 500 fuel tanks per week to approximate the cost of the 501st unit (round to the nearest 2 decimal places, if needed)

Problem page a medical equipment industry manufactures x-ray machines. the unit cost c (the cost in dollars to make each x-ray machine) depends on the number of machines made. if x machines are made, then the unit cost is given by the function =cx+−0.3x2126x31,935 . how many machines must be made to minimize the unit cost?

Jaguar has full manufacturing costs of their s-type sedan of £22,803. they sell the s-type in the uk with a 20% margin for a price of £27,363. today these cars are available in the us for $55,000 which is the uk price multiplied by the current exchange rate of $2.01/£. jaguar has committed to keeping the us price at $55,000 for the next six months. if the uk pound appreciates against the usd to an exchange rate of $2.15/£, and jaguar has not hedged against currency changes, what is the amount the company will receive in pounds at the new exchange rate?