The production planner for a private label soft drink maker is planning the production of two soft drinks: root beer (R) and sassafras soda (S). Two resources are constrained: production time (T), of which she has at most 12 hours per day; and carbonated water (W), of which she can get at most 1,500 gallons per day. A case of root beer requires 2 minutes of time and 5 gallons of water to produce, while a case of sassafras soda requires 3 minutes of time and 5 gallons of water. Profits for the root beer are $6.00 per case, and profits for the sassafras soda are $4.00 per case. What is the objective function

2. the language of price controls consider the market for rental cars. suppose that, in a competitive market without government regulations, the equilibrium price of rental cars is $58 per day, and employees at car rental companies earn $19.50 per hour. complete the following table by indicating whether each of the statements is an example of a price ceiling or a price floor and whether it results in a shortage or a surplus or has no effect on the price and quantity that prevail in the market. statement price control effect there are many teenagers who would like to work at car rental companies, but the minimum-wage law sets the hourly wage at $23.00. the government has instituted a legal minimum price of $87 per day for rental cars. the government prohibits car rental companies from renting out rental cars for more than $87 per day.

Responsible for setting the goals and planning for the future as well as leading and controlling the work of others. out the decisions of top management. often responsible for various departments such as the production, marketing, and accounting departments. process or function of planning organizing leading and controlling. the resources arranged in an orderly and functional way to accomplish goals and objectives. the company on track and making sure goals are met. for the daily operations of a business. examples of this are supervisors, office managers, and crew leaders. act or process of creating goals and objectives as well as the strategies to meet them. for the daily operations of a business. examples of this are supervisors, office managers, and crew leaders. how the firm is structured and who is in charge of whom. direction and vision

Define the marginal rate of substitution between two goods (x and y). if a consumer’s preferences are given by u(x,y) = x3/4y1/4, compute the consumer’s marginal rate of substitution as a function of x and y. calculate the mrs if the consumer has chosen to consumer 48 units of x and 16 units of y. show your work. (use the back of the page if necessary.