Read Chapter 7 Reminder The second exam is on Monday October

Read Chapter 7. Reminder: The second exam is on Monday October 5th. Complete the following problems: In 2012 the Austrian skydiver Felix Baumgartner leaped out of a helium balloon floating 24 miles above Roswell NM. Wearing a cumbersome pressurized suit, his total combined weight was 260 lbs. At an elevation of 91,300 feet he atta in e d a te rm in a l v e lo city of 843.6 mph. At what rate (in Watts) was h e a t d is s ip a ted as a restilt o f air friction at this speed? http: / / www.telegraph.co.uk/news/science/space/9849206/Felbc-Baumgartnerfell- fastcr-t han-we-t bought-supersonic-skydivcr-hit-Mach-1.25.html

Solution

Let X be the number of fruits and Let Y be the number of nuts

0x + 3y >= 6

2x + y >= 12

x + 2y <= 11

x>=0,y>=0

The dietician wants to minimize the intake of calories

Calorie Intake = Z = 22x + 31y

Graphing the curve we get the following solution possible

y = 2, x=5 --> 1 solution

y = 2, x = 7 --> 2 solution

x = 13/3 and y = 10/3 ---> 3rd solution

Checking the values of Z function at 1st solution

Z = 22(5) + 31(2) = 172 calories

Checking the values of Z function at 2nd solution

Z = 22(7) + 31(2) = 216 calories

Checking the values of Z function at 2nd solution

Z = 22(13/3) + 31(10/3) = 198.67

Hence the optimal calories is 172 calories at 5 fruits and 2 nuts