Mathematics-calculus in commerce

Reference no: EM13126805

Production Cost -

At a certain factory, approximately q(t) = t^2 + 50t units are manufactured during the first t hours of a production run, and the total cost of manufacturing q units is C(q) = 0.1q^2 + 10q + 400 dollars. Find the rate at which the manufacturing cost is changing with respect to time 2 hours after production commences.

Reference no: EM13126805

Questions Cloud

How many grams of acetylene must be burned : The complete combustion of acetylene, C2H2(g), produces 1300. kJ of energy per mole of acetylene consumed. How many grams of acetylene must be burned

How to find the manufacturer-s claim plausible : If the sample mean lifetime of the 100 batteries were 36.7 hours. would you find the manufacturer's claim plausible? Explain.

Determining mathematics-calculus in commerce : If the current levels of input are x = 10 and y = 20, use calculus to estimate the change in input y that should be made to offset an increase of 0.5 in input x so that output will be maintained at its current level.

Accrual method of accounting : Joyce Rescho is self-employed and uses the calendar year and the accrual method of accounting. She reports the following activities for December:

Mathematics-calculus in commerce : At a certain factory, approximately q(t) = t^2 + 50t units are manufactured during the first t hours of a production run, and the total cost of manufacturing q units is C(q) = 0.1q^2 + 10q + 400 dollars.

Probability open heart operations at least one successful : What is the probability that in two randomly select open heart operations at least one will be successful? Draw a tree diagram.

Invested for future scholarships : Assets that the governing board of a public university, rather than a donor or other outside agency, has determined are to be retained and invested for future scholarships would be reported as:

Determining calculus - maximizing profit : A manufacturer has been selling lamps at $6 apiece, and at this price, consumers have been buying 3,000 lamps per month. The manufacturer wishes to raise the price and estimates that for each $1 increase in price

Find the maximum water producing capacity : What is the maximum water producing capacity that the station should keep on line for this hour so that the demand will have a probability of only 0.01 of exceeding this production capacity?

User Account

All Pages