Pharmacy has determined that a healthy person should receive 70 units of proteins, 100 units of carbohydrates and 20 units of fat daily. If the store carries the six types of health food with their ingredients as shown in the table below, what blend of foods satisfies the requirements at minimum cost to the pharmacy? Make a mathematical model for the given problem. Foods

Protein units

Carbohydrates units

Fat units

Cost per unit

A

20

50

4

2

B

30

30

9

3

C

40

20

11

5

D

40

25

10

6

E

45

50

9

8

F

30

20

10

8

A local manufacturing firm produces four different metal products, each of which must be machined, polished and assembled. The specific time requirements (in hours) for each product are as follows:

Bond j has a coupon rate of 6 percent and bond k has a coupon rate of 12 percent. both bonds have 14 years to maturity, make semiannual payments, and have a ytm of 9 percent. a. if interest rates suddenly rise by 2 percent, what is the percentage price change of these bonds?

R& m chatelaine is one of the largest tax-preparation firms in the united states. it wants to acquire the tax experts, a smaller rival. after the merger, chatelaine will be one of the two largest income-tax preparers in the u.s. market. what should chatelaine include in its acquisition plans? it should refocus its attention from the national to the international market. in addition to acquiring the tax experts, it should also determine the best way to drive independent "mom and pop" tax preparers out of business. chatelaine will need to explain to the federal trade commission how the acquisition will not result in an increase in prices for consumers. chatelaine should enter a price-based competition with its other major competitor to force it out of business and become a monopoly.

Four key marketing decision variables are price (p), advertising (a), transportation (t), and product quality (q). consumer demand (d) is influenced by these variables. the simplest model for describing demand in terms of these variables is: d = k – pp + aa + tt + qq where k, p, a, t, and q are constants. discuss the assumptions of this model. specifically, how does each variable affect demand? how do the variables influence each other? what limitations might this model have? how can it be improved?