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The total weekly revenue earned at Royal Ruby Retailers is given by R(p) = −7/3p2 + 98p where p...

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Basic Math

The total weekly revenue earned at Royal Ruby Retailers is givenby

R(p) =−7/3p2 + 98p

where p is the price (in dollars) RRR charges per ruby.Use this function to determine the following.

(a) Determine the weekly revenue, to the nearest dollar, whenthe price is set at $20/ruby.
$

(b) Determine the weekly revenue, to the nearest dollar, when theprice is set at $200/ruby.
$

Interpret your result.

The range of the demand function cannot realistically includep = $200. The range of the demand function includesp = $200.     The domain of the demandfunction cannot realistically include p = $200. The domainof the demand function includes p = $200.


(c) Determine the price RRR should charge in order to obtain aweekly revenue of $1,029.

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