i don't clearly understand questions 1 and 2. so the question have to be A+f???

When he was young, Captain Conundrum mowed lawns on weekends to help pay his college tuition bills. He charged his customers according to the size of their lawns at a rate of 5¢ per square foot and meticulously kept a record of the areas of their lawns in an ordered list:
A = (200, 300, 50, 50, 100, 100, 200, 500, 1000, 100)

He also listed the number of times he mowed each lawn in a given year, for the year 1988 that ordered list was
f = (20, 1, 2, 4, 1, 5, 2, 1, 10, 6)

1. How much did Captain Conundrum earn from mowing lawns in 1988? Write an expression for this amount in terms of the vectors A and f.
2. Suppose Captain Conundrum charged di�fferent customers di�fferent rates. How could you modify the expression in question 2 to compute the Captain's earnings?

2 answers

earnings = 0.05 A•f
A+f is meaningless, since you can't add ft^2 and n. A•f computes the total ft^2 mowed.

For various earnings, you'd also need a vector of rates.

Not sure how to do that with just vector operations. Say the rates were
0.05, 0.10, 0.07, 0.12, 0.05, 0.08, 0.13, 0.09, 0.10, 0.11

The calculation might look like this:

10
∑ A(i)*r(i) dot f
i=1

Can't think right off how to use vector algebra to do an element-by-element multiply and produce another vector.
thank u so much steve. i have trouble with word problems. now i understand.
Similar Questions
  1. I have no idea how to understandquantitative comparison questions which involves the understanding of arithmetic mean. I need to
    1. answers icon 2 answers
  2. I have already posted these questions -but I still need more help to understand. Several stated (A) was the correct answer, but
    1. answers icon 5 answers
  3. I just had an English exam, and I don't think I do too well.Anyways, there was a few questions in it that I didn't quite
    1. answers icon 2 answers
    1. answers icon 6 answers
more similar questions