A 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:

Intronix uses copy editors, computer graphics specialists, and java programmers to produce ads for magazines and the internet. the average new ad for magazines typically requires 180 hours of a copy editor's time and 135 hours of a computer graphics specialist's time, whereas ads produced for the internet require 35 hours of copy editor time, 195 hours of computer graphics time, and 60 hours of a java programmer's time. lassie food, a dog food manufacturer, has hired intronix to produce ads in the next four week. although currently it considers magazine ads 3 times more valuable than internet ads, it still wishes to have at least 2 of each produced within the next four weeks. intronix has assigned up to 3 copy editors, 4 computer graphics specialists, and 1 java programmer, each committed to work up to 70 hours per week on the project. how many of each type of ad should be produced to maximize the overall value to lassie foods

1. gar principles or "the principles"are intended to do what? a. foster an awareness of the hierarchical structure of the organization b. explain the best method of implementing biometric security techniques c. foster an awareness of the importance of good employee training d. foster an awareness of getting upper level management on board in understanding the need to implement an ig program e. foster an awareness of good record keeping principles

You were able to purchase two tickets to an upcoming concert for $100 apiece when the concert was first announced three months ago. recently, you saw that stubhub was listing similar seats for $225 apiece. what does it cost you to attend the concert?