The feed n ship ranch fattens cattle for local farmers and ships them to meat markets in kansas city and omaha. the owners of the ranch seek to determine the amounts of cattle feedto buy so that minimum nutritional standards are satisfied, and at the same time total feed cost are minimized. the feed mix can be made up of three grains that contain the following ingredients per pound of feed:

feed (oz)

ingredient stock x stock y stock z

a 3 2 4

b 2 3 1

c 1 0 2

d 6 8 4

the cost per pound of stocks x, y, and z are $2, $4, and $2.50 respectively. the minimum requirement per cow per month is 4 pounds of ingredient a, 5 pounds of ingredient b, 1 pound of ingredient c, and 8 pounds of ingredient d.

the ranch faces one additional restriction: it can only obtain 500 pounds of stock z per month from the feed supplier regardless of its need. because there are usually 100 cows at the feed n ship ranch at any given time, this means that no more than 5 pounds of stock z can be counted on for use in the feed of each cow per month.

a) formulate this as an lp problem

b) solve using lp software

Chose the graph below that represents the following system of inequality’s

In tossing one coin 10 times, what are your chances for tossing a head? a tail? 2. in tossing one coin 100 times, what are your chances for tossing a head? a tail? 3. in tossing one coin 200 times, what are your chances for tossing a head? a tail? deviation = ((absolute value of the difference between expected heads and observed heads) + (absolute value of the difference between expected tails and observed tails)) divided by total number of tosses. this value should always be positive. 4. what is the deviation for 10 tosses? 5. what is the deviation for the 100 tosses? 6. what is the deviation for 200 tosses? 7. how does increasing the total number of coin tosses from 10 to 100 affect the deviation? 8. how does increasing the total number of tosses from 100 to 200 affect the deviation? 9. what two important probability principles were established in this exercise? 10. the percent of occurrence is the obtained results divided by the total tosses and multiplied by 100%. toss the coins 100 times and record your results. calculate the percent occurrence for each combination. percent head-head occurrence: percent tail-tail occurrence: percent head-tail occurrence:

Jake bakes and sell apple pies. he sells each pie for $5.75 . the materials to make the pies cost $40. the boxes jake puts the pies in cost & 12.50 total. how many pies does jake need to sell to earn a profit of $50