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White Smile Inc. has two plants at which it produces electronic toothbrushes. Factory workers at each plant have the same characteristics (e.g., skills, alternative employment opportunities, level of income, risk aversion, etc.). The quality of a toothbrush produced is easy to supervise but the effort exerted by a worker is not. Thus, White Smile Inc. pays its factory workers according to a piece-rate contract. More precisely, each worker at plant 1 is paid I =a1+b1 X, where a1 is the base salary and b1 a piece rate ($ per unit produced) and X is the number of units produced by a worker. Similarly, each worker at plant 2 is paid I=a2+b2 X. Statistical data shows that the probability that the machines used by each worker in the production process break down - due to factors beyond the worker's control - is higher at plant 1 than at plant 2. This is the only difference between the two plants. Based on this information, what should a properly designed piece-rate contract for workers at these plants exhibit?
John and Susan opened savings accounts at two different banks. They each deposited $1,000. John's bank pays SIMPLE interest at an annual rate of 10% but Susan's bank pays COMPOUND interest at an annual rate of 9.5%.
The parents of a young child decide to make equal annual payments into a savingsaccount, with the first payment being made on the child's fifth birthday and the last payment being made on the fifteenth birthday. Then a rotal of four withdrawals of..
A zero crowding-out effect occurs when the government spending increases, but the investment does not decrease. In terms of absolute values, a partial crowding-out effect occurs when the increase in government spending is greater than the decrease..
Let X denote the number of rainy days on the coming weekend. Suppose that there is a 20% chance of rain on Saturday and 50% chance of rain on Sunday. Assume that rain on Saturday and rain on Sunday are independent events, so that Prob(rain on Satu..
Given the government policy, how much will be sold on the private market, that is, how much will consumers buy without government purchases How much sugar will government purchase. Suppose the government gives a guaranteed minimum price for sugar o..
a. Jack consumes two goods: food and leisure. He works for 8 hours per day and earns a wage of $8 dollars per hour. His rich uncles also give him around $20 per day. Illustrate Jack's choice of work and leisure using an indifference curve and a b..
What is the profit-maximizing number of sheep to own for the 10 farmers Q7. What is your optimal choice if the other 9 farmers choose to own 5 sheep Q8. What is your optimal choice if the other 9 farmers choose to own 6 sheep Q9. What is your opt..
Assuming that the demand is D(P) = 100 - 2P. The regulator chooses average cost pricing. Compute how many firms can efficiently serve the market and the total amount Q produced. (Hint: It suffices to compute the price at the efficient production l..
indicate that the short run price elasticity of demand for tires is 0.9. If an increase in the price of petroleum /used in producing tires) causes the market prices of tires to rise from $50 to $60
Consider a committee that consists of three people, A, B, and C, that is to examine three proposals, x, y, and z. The committee can adopt at most one of the three proposals; it also has the option of adopting none.
Suppose that \(X_{1},X_{2},....,X_{n} \) is an i.i.d. random sample, where \(X_{i}\) follows a normal distribution, with mean zero and unknown variance \(\sigma^{2}\) . Find the Maximum Likelihood Estimator of \(\sigm..
The following table is the pay off matrix for zero sum game. Estimate the each players dominated strategy of the following zero sum game?
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