mathematical analysis

In the problems below, D, M and Y mean day, month and year of your birth, respectively. For example, if you were born on 3rd of August in 2001, your D=3, M=8 and Y =2001.e) Management of the company decided to transfer the profit from step d) into a savings account, giving 2% of annual interest rate compounded monthly. How much money will be on that account after M years? f) Assume that the company invested final sum from step e) into development of a new product, and this action will generate continuous income stream of R(t ) = 0,1 . D.t . e,01.D.t thousand euros for the next 4 years. If the discount rate is 0%, how much in total will new seminar earn? Will the investment pay off? Why?The quantity demanded of a certain brand of blenders is 123 units per month when the unit price is 111 euros. For each decrease in unit price by 6 euros, the quantity demanded increases by 2 units. The supplier will not market any blenders if the unit price is 200 euros or lower. But at a unit price of 400 euros, the supplier is willing to make available 50 units in the market. 3] Find linear demand and supply functions. b) Find the equilibrium price and quantity. c) Find BEP, given that average variable cost is 100 euros, xed cost is Y euros per month, and selling price equals the market price. Interpret your result. d) Calculate prot of the company when selling price and quantity are the same as at equilibrium point