An economist has estimated the demand equation of a certain product as Q=100-5P where p is the price unit and Q is the q

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An economist has estimated the demand equation of a certain product as Q=100-5P where p is the price unit and Q is the quantity demanded in thousands per year.
A. Calculate and interpret the own price elasticity of demand of a product when its price unit goes from $10 to $15 per unit. Please explain in detail show all calculations
B. Calculate the own price elasticity when price is P=30 and Is demand elastic, unit elastic or inelastic at price P=$30 and Will you raise or lower to increase revenue? Please explain in detail show all calculations
C. Determine the total consumer value when price is P=$30. Please explain in detail show all calculations
D. Suppose the inverse demand function for a monopolist product is give by P=270-2.5Q and the total cost function is TC=500+3Q+3.5Q^2 so that it’s marginal cost is MC=30+7Q. Please explain in detail show all calculations
E. Determine marginal revenue as a function of Q. Please explain in detail show all calculations
F. Determine the profit maximizing price and quantity. Please explain in detail show all calculations
G. Determine the maximum profits. Please explain in detail show all calculations