TRUE or FALSE revenue and elasticity question
Which of the following statements are true (T) and which are false (F)? No justication required, only the answer counts. The company Blissful Batteries Inc. sell replacement batteries for Opple's oPad. In the following, p denotes the unit price of these batteries in dollars and q the quantity sold. We assume that the function q(p) is differentiable with q0(p) < 0. Blissful Batteries Inc. sell 10000 batteries per week at $5.00 each. (d) If the replacement battery is a price unit elastic good at a unit price of $5.00, if their total cost function is of the form C(q) = a+bq with constants a; b > 0 and management increases the price by a small amount, then their prot decreases. (e) If the replacement battery is a price inelastic good at every unit price and management decreases the unit price by 0.2%, then quantity demanded increases by less than 0.2%. (f) If the replacement battery is a price inelastic good at every unit price and management decreases the unit price by 1%, then quantity demanded decreases by more than 1%.
Please show your work and where you're stuck, and you'll get help.
i got the first three. I don't know the relation that elasticity and profit share @geoffb
A principle of economics is that total revenue is maximized when the price elasticity of demand is unit elastic. When elasticity of demand is either elastic or inelastic, total revenue can always be increased. Profit is total revenue minus total cost. From there, can you answer d, e, and f?
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