For a perfect competitive firm, the following short run function inGiven TC-2+4Q+Q²P=2+2/Q + 3QIf the price of the product prevailing in the market is Rs. 8 at what level of the output the firm will maximize the profit?a) Use TR and TC approach. Find the value of Q and also find out the profit of a firm?

He amount of carbon-14 present in animal bones t years after the animal's death is given by p(t)equals=upper p 0 e superscript negative 0.00012097 tp0e−0.00012097t. how old is an ivory tusk that has lost 26% of its carbon-14?

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

Christina can paint 420 square feet in 105 minutes. which unit rate describes the scenario?