X/49 = 21/x
x^2 = 21(49) = 1029
x = √1029 = 32.1
x = 32.1
The maximum units is 200 and , Total revenue is $8,000
<u>Step-by-step explanation:</u>
Here we have , A manufacturer finds that the revenue generated by selling of cortan commodity is given by function R(x)=80x-0.2x^ 2 , where he maximum reveremany should be manufactured to obtain this maximum units .Let's find out:
We have following function as
. Let's differentiate this and equate it to zero to find value of x for which the function is maximum!
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⇒ 
⇒ 
⇒ 
⇒ 
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Now , Value of function at x=200 is :
⇒ 
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Therefore , The maximum units is 200 and , Total revenue is $8,000
Answer: 13.5 ounce bottle for $2.19
a 29.2 ounce bottle for $5.37
The 29.2 ounce bottle is better
Step-by-step explanation:
13.5 ounce bottle for $2.19
a 29.2 ounce bottle for $5.37
find the ratios
13.5/2.19 = $6.16 per unit
29.2/5.37 = $5.44 per unit