Solve the Given Problem by Using Substitution $f ( x , y , z ) = 8 - x ^ { 2 } - y ^ { 2 } - z ^ { 2 }$

question 107

Multiple Choice

Solve the given problem by using substitution.
Find the maximum value of $f ( x , y , z ) = 8 - x ^ { 2 } - y ^ { 2 } - z ^ { 2 }$ subject to $z = 3 y$ .

• A) \(f _ { \max } = 8\)
• B) \(f _ { \max } = 9\)
• C) \(f _ { \max } = 3\)
• D) \(f _ { \max } = 10\)
• E) \(f _ { \max } = 7\)

---

Definitions:

Trade Discount

A reduction in the price of goods or services offered by a seller to a buyer in the business-to-business market.

Discount Series

A sequence of discounts applied one after the other to reduce a product's price or to calculate the present value of a stream of future payments.

Invoice Notation

Symbols or codes used on an invoice to provide specific information about the transaction or goods involved.

Discount Rate

An interest rate charged to commercial banks and other depository institutions for loans received from a country's central bank's discount window.