David is shopping for work supplies; he purchases 3 binders, 5 pens, and 2 reams of paper. The binders cost $3.50 each; the pens cost $1.15 each; and the reams of paper cost $4.00 each. The sales tax for his purchase is 7.75%. Which of the following is closest to the total cost of David’s purchase?A. $24.25 B. $24.99C. $25.95D. $26.13

Needs to schedule the staffing of the center. it is open from 8am until midnight. larry has monitored the usage of the center at various times of the day and determined that the following number of computer consultants are required: time of dayminimum number of consultants required to be on duty8 am-noon4noon-4 pm84pm-8pm108pm-midnight6 two types of computer consultants can be hired: full-time and part-time. the full- time consultants work for eight consecutive hours in any of the shifts: morning (8am- 4pm), afternoon (noon-8pm) and evening (4pm-midnight). full-time consultants are paid $14 per hour. part-time consultants can be hired to work any of the four shifts listed in the table. part-time consultants are paid $12 per hour. an additional requirement is that during every time period, there must be at least two full-time consultants on duty for every part-time consultant on duty. larry would like to determine how many full-time and part-time consultants should work each shift to meet the above requirements at the minimum possible cost. formulate this as an lp problem. you must define your variables clearly

Suppose a firm faces a fixed price of output, 푝푝= 1200. the firm hires workers from a union at a daily wage, 푤푤, to produce output according to the production function 푞푞= 2퐸퐸12. there are 225 workers in the union. any union worker who does not work for this firm is guaranteed to find nonunion employment at a wage of $96 per day. a.what is the firm’s labor demand function? b.if the firm is allowed to choose 푤푤, but then the union decides how many workers to provide (up to 225) at that wage, what wage will the firm set? how many workers will the union provide? what is the firm’s output and profit? what is the total income of the 225 union workers? c.now suppose that the union sets the wage, but the firm decides how many workers to hire at that wage (up to 225). what wage will the union set to maximize the total income of all 225 workers? how many workers will the firm hire? what is the firm’s output and profit? what is the total income of the 225 union workers? [hint: to maximize total income of union, take the first order condition with respect to w and set equal to 0.]

You are attending college in the fall and you need to purchase a computer. you must finance the purchase because your parents will not purchase it for you, and you do not have the cash on hand to purchase it. in blank #1 determine which type of credit would you use to finance your purchase (installment, non-installment, or revolving credit). (2 points) in blank #2 defend your credit choice by explaining why your financing option is the best option for you. (2 points) in blank #3 explain why you selected that credit option over the other two options available. (2 points)