Owner owns a pizza shop with a single employee. If employee works x hours, he can produce sqrt x pizzas.Each pizza sells for £6. cost to employee of working x hours is c(x)=x. If emplyee can enjoy £5 from staying at home and no effort. How much would he have to receive from owner for producing effecient amount of pizzas? a)14 b)36 c)27 d)42 e)9
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Owner owns a pizza shop with a single employee. If employee works x hours, he can produce sqrt x pizzas.Each pizza sells for £6. cost to employee of working x hours is c(x)=x. If emplyee can enjoy £5 from staying at home and no effort. How much would he have to receive from owner for producing effecient amount of pizzas?
a)14
b)36
c)27
d)42
e)9
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- A computer reseller needs to decide how many laptops to order next month. The lowest end laptop costs $220 and the retailer can sell these for $300. However, the laptop manufacturer already announced that they are coming out with a new model in a couple of months. Any laptops that will not be sold by the end of next month will have to be heavily discounted at half-price. The reseller also needs to consider that every time he fails to fulfill a laptop order, he stands to lose $25 for every unit. Based on the past months’ sales, the reseller estimates the demand probabilities for sales (S) as follows: P(0 units) = 0.3; P(1 units) = 0.4; P(2 units) = 0.2; P(3 units) =0.1. The reseller thinks it’s a good idea to conduct a survey on whether or not his customers are going to buy laptops and how many. The survey results will either be Yes (Y), No (N) or Don’t Know (DK). The probability estimates of the results based on the demand for number of units are: P(Y|S = 0 units) = 0.1 P(Y|S = 1…A computer reseller needs to decide how many laptops to order next month. The lowest end laptop costs $220 and the retailer can sell these for $300. However, the laptop manufacturer already announced that they are coming out with a new model in a couple of months. Any laptops that will not be sold by the end of next month will have to be heavily discounted at half-price. The reseller also needs to consider that every time he fails to fulfill a laptop order, he stands to lose $25 for every unit. Based on the past months’ sales, the reseller estimates the demand probabilities for sales (S) as follows: P(0 units) = 0.3; P(1 units) = 0.4; P(2 units) = 0.2; P(3 units) =0.1. The reseller thinks it’s a good idea to conduct a survey on whether or not his customers are going to buy laptops and how many. The survey results will either be Yes (Y), No (N) or Don’t Know (DK). The probability estimates of the results based on the demand for number of units are: P(Y|S = 0 units) = 0.1 P(Y|S = 1…A computer reseller needs to decide how many laptops to order next month. The lowest end laptop costs $220 and the retailer can sell these for $300. However, the laptop manufacturer already announced that they are coming out with a new model in a couple of months. Any laptops that will not be sold by the end of next month will have to be heavily discounted at half-price. The reseller also needs to consider that every time he fails to fulfill a laptop order, he stands to lose $25 for every unit. Based on the past months’ sales, the reseller estimates the demand probabilities for sales (S) as follows: P(0 units) = 0.3; P(1 units) = 0.4; P(2 units) = 0.2; P(3 units) =0.1. The reseller thinks it’s a good idea to conduct a survey on whether or not his customers are going to buy laptops and how many. The survey results will either be Yes (Y), No (N), or Don’t Know (DK). The probability estimates of the results based on the demand for the number of units are: P(Y|S = 0 units) = 0.1…
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- You are the owner of QuantCrunch Corporation, a company that recently spent $15,000 to develop a statistical software package. To date, you only have one client. A recent internal study revealed that this client’s demand for your software is Qd = 300 – 0.2P and that it would cost you $1,000 per unit to install and maintain software at this client’s site. Your assignment is to construct a report that compares (1) the profit that results from charging this client a single (profit-maximizing) per-unit price with (2) the profit that results from charging $1,450 for the first 10 units and $1,225 for each additional unit of software purchased. Answer the following questions in your report: What type of pricing strategy is (1)? What type of pricing strategy is (2)? Compare at least three strategies discussed in this module (including 1 and 2) in making your recommendation? Show your calculations.A firm has employed its workers X and Y optimally such that the marginal product of X is 10 bags while that of Y is 15 bags of wheat. If Y’s wage is K750, what is X’s wage? b) Company B has employed 20 workers whose average product is 1000 Kgs of maize. The wage given to each worker is K2000 while the price of each bag is K20. An additional worker produces 2000 but demands a wage of K3000. Should the additional worker be employed? c) Firm A sells its product at K20 while its variable costs is K15 per unit. It can earn K3 per unity accounting profit in its next best alternative. How much should it produce to earn a zero economic profit? d) What will be the economic profit if firm A above produces and sells 4000 units of its productDBM Industries produces exclusively an SP Juice in the market under the name DBM Sparkle . The firm’s manager must determine how many bottles to produce before he knows what the market price will be. Assume a competitive market situation. Forecast from the Department of Economics (DOE) revealed that, there is 30 percent chance that the market price will be P80 per liter and a 70 percent chance that it will be P40 per liter when the juice hits the market. If DBM’s cost function is C = 200 + .0005Q2, how much juice should DBM produce to maximize expected profit ? How much is the expected price?
- Your software company recently instituted a highly regarded training program for newly hired software developers. The benefits of this program include not only the benefits to employees, but also the goodwill generated by an increase in your reputation among customers and professional groups. The costs of this training program include all of the labor, space, and consultants necessary. Suppose these benefits and costs are givenby B(Q) = 100Q − 2Q2 and C(Q) = 10Q, where Q represents the amount of hours each software developer should spend in training. (Note that MB = 100 − 4Q, MC = 10, and also that time can be measured in fractions of one hour.) a. What level of Q maximizes the total benefits of your newly introduced training program?b. What level of Q minimizes the total costs of the program?c. What level of Q maximizes the net benefits?S Pte Ltd (“SPL”) is a country incorporated and tax resident in Country S. It has developed a social audio platform whereby the users can connect with other users from different parts of the world via audio chat. SPL believes that social audio feature will be the next game changer in the internet space, especially when a lot of countries are still in lock-down mode and human-to-human connection becomes a huge concern during Pandemic.The social audio platform is getting more popular in Asia and SPL is keen to explore the possibility of setting up a Headquarter company in Singapore with operating subsidiaries in Malaysia, Thailand, Japan and Hong Kong. Required: Assuming SPL is interested in applying for tax incentives in Singapore, illustrate the two (2) relevant tax incentives SPL can consider based on the information stated above, and discuss any additional conditions SPL should be aware of.An electronics firm produces two models of pocket calculators: the A-100 (A) and the B-200 (B). Each model uses one circuit board, of which there are only 2,500 available for this week’s production. In addition, the company has allocated a maximum of 800 hours of assembly time this week for producing these calculators. Each A-100 requires 15 minutes to produce while each B-200 requires 30 minutes to produce. The firm forecasts that it could sell a maximum of 4,000 of the A-100s this week and a maximum of 1,000 B-200s. Profits for the A-100 are $1.00 each and profits for the B-200 are $4.00 each. The firm’s goal is to maximize profits.What is the time constraint?