When the price of hot dogs is $1.50 each, 500 hot dogs are sold every day. After the price falls to $1.35 each, 510 hot dogs are sold every day. At the original price, what is the price elasticity of demand for hot dogs?

The monthly payment m of a loan of amount p for y years with an interest rate r can be calculated by the formula: m = p(r/12) 1 â’ (1 + r/12)â’12y calculate the monthly payment and the cummulative total payment for a $100,000 loan with an interest rate of 4.85% if taken out for 10 years, for 11 years, etc., up to a 30 year term. display the results in a three-column table where the first column is the number of years, the second is the monthly payment, and the third is the cummulative total payment. note: use format bank; for this problem. also, remember to represent the interest rate as a decimal (e.g. 0.0485) 2. a torus-shaped water tube is designed to have a volume of 8, 000in3 . the volume of the tube, v , and its surface area, s, are given by: v = 1 4 ď€ 2 (a + b)(b â’ a) 2 s = ď€ 2 (b 2 â’ a 2 ) if a = kb, determine s, a, and b for k = 0.2, 0.3, 0.7. display the results in a table

Acompany manufactures x units of product a and y units of product b, on two machines, i and ii. it has been determined that the company will realize a profit of $3 on each unit of product a and $4 on each unit of product b. to manufacture a unit of product a requires 7 min on machine i and 5 min on machine ii. to manufacture a unit of product b requires 8 min on mchine i and 5 min on machine ii. there are 175 min available on machine i and 125 min available on machine ii in each work shift. how many units of a product should be produced in each shift to maximize the company's profit p?

Many potential buyers value high-quality used cars at the full-information market price of € p1 and lemons at € p2. a limited number of potential sellers value high-quality cars at € v1 ≤ p1 and lemons at € v2 ≤ p2. everyone is risk neutral. the share of lemons among all the used cars that might be potentially sold is € θ . suppose that the buyers incur a transaction cost of $200 to purchase a car. this transaction cost is the value of their time to find a car. what is the equilibrium? is it possible that no cars are sold