3. A company manufactures two types of products: A and B. Three resources R1, R2, and R3 are required to make these products. a. Each unit of product A requires 8 units of R1 and 4 units of R2. b. Each unit of product B requires 2 units of R1, 5 units of R2, and 3 units of R3. The availabilities of resources R1, R2, and R3 are 500, 400, and 180, respectively. The manufacturer also makes a profit of $20 and $50 for products A and B, respectively. Formulate a linear programming problem whose solution will tell the manufacturer how to maximize the total profit. • What are the decision variables? • What is the objective? • What is the objective function? • What are the constraints?

Luis and rosa, citizens of costa rica, moved to the united states in year 1 where they both lived and worked. in year 3, they provided the total support for their four young children (all under the age of 10). two children lived with luis and rosa in the u. s., one child lived with his aunt in mexico, and one child lived with her grandmother in costa rica. none of the children earned any income. all of the children were citizens of costa rica. the child in mexico was a resident of mexico, and the child in costa rica was a resident of costa rica. how many total exemptions (personal exemptions plus exemptions for dependents) may luis and rosa claim on their year 3 joint income tax return? a. 6 b. 5 c. 4 d. 2

Which feature transfers a slide show into a word-processing document?

Table 1. shows the expected demand for the dvd at different suggested donation levels, and they can act as a single-price monopolist if they choose to. thereceipts will be used to fund gstcg supplies for their data collection and conservation work. at the end of each sea turtle nesting season, any excess funds are donated by the gstcg to a local non-profit sea turtle research and rehabilitation facility. table 1 suggested anticipated total marginal profit donation per number of dvd revenue revenue dvd request requests $19.00 0 $15.00 2 $9.50 4 $7.75 10 $3.00 15 $0.00 20 a. complete table 1 by computing the total revenue, marginal revenue, and profit columns. b. the president wants the gstcg to provide videos to generate the most possible donations (total revenue). what price, if any, is the president of the gstcg favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer. c. the education outreach committee wants the gstcg to provide videos to the highest possible number of people. what price, if any, is the educational outreach committee favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer. d. the treasurer of the gstcg wants the dvd program to be as efficient as possible so that the marginal revenue equals marginal cost. what price, if any, is the treasurer favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer. e. the fundraising committee wants the dvd program to generate as much profit in donations as possible. what price, if any, is the fundraising committee favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer.