Question

(a) Find fx(x,y), fy(x,y), fx(1,3), and fy(-2,4) for the given function. If

= (, ) = 3

ଷ

ଶ −

ଶ

ଷ + 4 + 9

(b) A firm estimates that it can sell Q units of its product with an advertising

expenditure of x thousand dollars where

= () = −

ଶ + 600 + 25

i) Over what level of advertising expenditure is the number of units of

product sold increasing?

ii) Over what level of advertising expenditure is the number of units of

product sold decreasing?

c) Determine the location and values of the absolute maximum and absolute

minimum for the given function:

() = (− + 2)

ସ

, ℎ 0 ≤ ≤ 3​

Answer 1

Step-by-step explanation:

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