Please show step-by-step solutions for me to understand. I need to be able to understand how to solve this problem so please make it step-by-step. I will appreciate it. Thank you so much! Have a great day ahead!

The price-demand equation and the cost function for the production of garden hoses are given. respectively. by p220 and C(z)=500+2a: where a: is the number of garden hoses that can be sold at a price ofp dollars per unit and 0(3) is the total cost (in dollars) of producing a garden hoses. 0 Express the revenue function in terms of a: and nd its domain. a Using the marginal prot function. compute for the added/reduced prot of producing the 1015t. 145th. and 197th garden hose. Interpret these results. A new worker on the production line performs an operation in T minutes after a: performances of the operation. as given by T = 2 (1 + +) 3'5 dz: If. after performing the operation 9 times. the rate of improvement is - = 3 operations per hour, nd the dt . . . dT . . . rate of Improvement m time - In performing each operation. dt