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:

Transactions on april 1 of the current year, andrea byrd established a business to manage rental property. she completed the following transactions during april: opened a business bank account with a deposit of $45,000 from personal funds. purchased office supplies on account, $2,000. received cash from fees earned for managing rental property, $8,500. paid rent on office and equipment for the month, $5,000. paid creditors on account, $1,375. billed customers for fees earned for managing rental property, $11,250. paid automobile expenses for month, $840, and miscellaneous expenses, $900. paid office salaries, $3,600. determined that the cost of supplies on hand was $550; therefore, the cost of supplies used was $1,450. withdrew cash for personal use, $2,000. required: 1. indicate the effect of each transaction and the balances after each transaction: for those boxes in which no entry is required, leave the box blank. for those boxes in which you must enter subtractive or negative numbers use a minus sign. (example: -300)

1. the healthy pantry bought new shelving and financed $7,300 with 36 monthly payments of $267.65 each. suppose the firm pays the loan off with 13 payments left. use the rule of 78 to find the amount of unearned interest. 2. the healthy pantry bought new shelving and financed $7,300 with 36 monthly payments of $267.65 each. suppose the firm pays the loan off with 13 payments left. use the rule of 78 to find the amount necessary to pay off the loan. ! i entered 967.82 for question 1 and 5,455.78 for question 2 and it said it was

The wall street journal reported that walmart stores inc. is planning to lay off 2,300 employees at its sam's club warehouse unit. approximately half of the layoffs will be hourly employees (the wall street journal, january 25-26, 2014). suppose the following data represent the percentage of hourly employees laid off for 15 sam's club stores. 55 56 44 43 44 56 60 62 57 45 36 38 50 69 65 (a) compute the mean and median percentage of hourly employees being laid off at these stores. (b) compute the first and third quartiles. (c) compute the range and interquartile range. (d) compute the variance and standard deviation. (e) do the data contain any outliers? (f) based on the sample data, does it appear that walmart is meeting its goal for reducing the number of hourly employees?