A Tennis Racket Manufacturer Produces Two Types of Rackets, Standard $x ^ { 2 }$

question 43

Multiple Choice

A tennis racket manufacturer produces two types of rackets, standard and competition. The weekly revenue function, in dollars, for x standard rackets and y competition rackets is given by R(x, y) = 54x + 2xy + 398y - 2 $x ^ { 2 }$ - 9 $y ^ { 2 }$ i) How many of each type of racket must be produced each week to maximize revenue?
Ii) What is the maximum weekly revenue?

• A) i) 26 standard rackets and 26 competition rackets;
• Ii) $5668
• B) i) 25 standard rackets and 25 competition rackets;
• Ii) $5675
• C) i) 25 standard rackets and 26 competition rackets;
• Ii) $5664
• D) i) 26 standard rackets and 25 competition rackets;
• Ii) $5677

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Definitions:

Transparent Disc

A disc-shaped object made from a material that allows light to pass through it without scattering, making the material itself nearly invisible but still physically present.

Iris

The colored part of the eye that controls the size of the pupil and thus the amount of light that enters the eye.

Cornea

The clear front section of the eye, encompassing the iris, pupil, and front chamber, which plays a primary role in concentrating the majority of light entering the eye.

Retina

A thin layer of tissue at the back of the eye that contains cells sensitive to light, which convert light into neural signals for visual recognition.