Math Help

Quiz-4

Covers material from sections 5.3, 7.2, 7.3, 7.4

( Steps to follow: Graph all border lines . Shade the area where all constrains are satisfied . Identify coordinates of corner points . Calculate P function at every corner point . Identify point where P function ha s maximum value . )Section 5.3 (1 point)

Linear programming problem. Maximize function: P=5x+3y subject to the following constrains: 3x+6y≤18 x–2y≤2 x, y ≥0

Section 7.2 (0.5 points) Write the resulting set using the listing method:

{1, 2, 4, 6} ⋃ {4, 6, 10, 12}

Section 7.2 (0.5 points) Write the resulting set using the listing method:

{1, 2, 4, 6} ⋂ {4, 6, 10, 12}

( 20 5 ) ( 15 ) ( 50 )Section 7.2 (0.5 points) Based on this Venn diagram, how many elements are in the set?: (A⋂B)’ meaning, not in A⋂B.

Section 7.3 (0.5 points) Fast food restaurant has on the menu 3 soups, 4 sandwiches and 5 soft drinks. In how many different ways can you order one soup, one sandwich and one drink?

Section 7.3 (0.5 points)

How many 4-letter codes are possible from the first 8 letters of the alphabet if no letter is repeated? Do not write these codes, use rule from section 7.3 to calculate the number of code.

Section 7.4 (0.5 points)

Use definition of factorial to calculate 10! / 8! (if you do it right, you don’t need a calculator)

Section 7.4 (0.5 points)

In how many ways can you select 2 candidates out of 5? Order of selection doesn’t matter, use formula for Combinations.

Section 7.4 (0.5 points)

In how many ways 5 cards selected from a standard 52-card deck will be all clubs? Order of cards doesn’t matter (there are 13 clubs in a standard 52-card deck).

Section 7.4 (1 point)

Serial numbers for a product are made using 3 letters followed by 3 numbers. Like ABC254 or DEF106 etc. If the letters are taken from the first 6 letters of the alphabet with no repeats and the numbers are taken from the 10 digits (0,1,2,3,4,5,6,7,8,9) with no repeats, how many serial numbers are possible?