Given cost and price​ (demand) functions C(q)=110q+45,000 and p(q)=−1.8q+900​, What price should be set to maximum​ profit?   It should be ​$enter your response here   per item. ​(Round answer to nearest​ cent.)

ADTF Distributors produces and sells a line of virtual sketch pad devices with a micro-USB connection. They find that their profit when producing and selling x devices changes according to the marginal profit function P'(x) = 60 -0.1x. dollars per device. They also know that when only 10 devices are produced and sold their loss can be expressed as P(10) = -650. (a) Find the function for the total profit from producing and selling x virtual sketch pad devices: P(x) = (b) Use your answer to part (a) to complete the following sentence. When ADTF Distributors produces and sells 603 virtual sketch pad devices, we predict that their total profit will be $ (c) From the profit function, we can conclude that the fixed costs when producing the devices is $ Given that the variable costs of the production are $27 per device, then the total cost to produce 603 virtual sketch pad devices will be $ (d) When 603 devices are produced and sold, the selling price must be $ Hint: First, find the total…

As a producer and seller of some commodity, you have learned that, if you produce and sell x itmes in a particular month, the following functions can be used to find the cost and revenue: Revenue: R(x)=150x-x^​2 and Cost: C(x)=3000+20x.  (a) Write a simplified formula for your profit in a particular month, P(x)=R(x)- C(x) (b) Find the "break-even" point(s) (c) How many items should you produce and sell in a month in order to achieve a maximum profit? (d) What is the maximum possible monthly profit? This is the problem and I cannot solve the c and d, could you please help me?

600 550 500 450 400 360 350 300 270 250 200 150 100 50 0 ATC> MC c) 20 d) 25 e) 45 f) 100 g) 120 h) 160 a 6 10 20. What is the Marginal Cost at Q=6? a) 7.50 b) 12 b 20 Ha 30 ATC=MC TC ATC < MC 37 40