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kolbaska11 [484]
3 years ago
9

The profit p ( in hundreds of dollars ) that a company makes depends on the expenditure x ( in hundreds of dollars ) that the co

mpany spends advertising according to the model p(x) = -0.5x^2 +20x+230. What expenditure for advertising will yield maximum profit?
Mathematics
1 answer:
aliina [53]3 years ago
8 0

Answer:

Expenditure x (in hundreds of dollars) = $2,000

Step-by-step explanation:

Given:

Profit p (in hundreds of dollars)

Expenditure x (in hundreds of dollars)

p(x) = -0.5x² + 20x + 23

Find:

Expenditure for advertising .

Computation:

x = -(Cofficient of x) / 2(Cofficient of x²)

x = -(20) / 2(-0.5)

x =  20

Expenditure x (in hundreds of dollars) = 20 × $100

Expenditure x (in hundreds of dollars) = $2,000

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Does anyone how to solve this sum? It’s urgent
Galina-37 [17]

The required value for the sum is 9580.


\frac{10000}{(1+\frac{0.115}{4})^2}+68\frac{1-\frac{1}{(1+\frac{0.115}{4})^2}}{\frac{0.115}{4}}

<h3>What is simplification?</h3>

Simplification in mathematics to solve the given condition on its operators.


\frac{10000}{(1+\frac{0.115}{4})^2}+68\frac{1-\frac{1}{(1+\frac{0.115}{4})^2}}{\frac{0.115}{4}}

= \frac{10000}{1.028^2} +68*\frac{1-\frac{1}{1.028^2} }{\frac{0.115}{4} } \\9451+68*\frac{1-0.94}{\frac{0.115}{4} } \\\\9451+68*\frac{0.054}{\frac{0.115}{4} } \\\\\\9451+3.72{\frac{4}{0.115} } \\\\\\9451+129\\

= 9580


The required solution is given as 9580.

Learn more about simplification here:
brainly.com/question/9218183

#SPJ1

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Studentka2010 [4]

Answer:

h(x)=x²+6 and g(x)=8x-5

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Step-by-step explanation:

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step 2: h(8x-5)

step 3: h(8x-5)= (8x-5)²+6

step 4: (8x-5)(8x-5)+6

step 5: 16x² +15x +6

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shepuryov [24]

Answer:

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Step-by-step explanation:

Used calculator.

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