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Evgesh-ka [11]
3 years ago
7

Leo Corporation pays its employees on a graduated commission scale: 6 percent on 1st $40,000 sales; 7% on sales above $40,000 to

$80,000; and 9 percent on sales greater than $80,000. Bernie Kaminsky had sales of $105,000. His commission is:
Mathematics
1 answer:
kaheart [24]3 years ago
7 0
So according to the question statements 

6% of the $40k and 7$ of the second $40k and 9% ammount of the $80k 

the answer would be 

40000 * 0.06
 + 40000 * 0.07
+  25000 * 0.09
= 270250


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QUESTION 3 [10 MARKS] A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the nu
Harman [31]

Answer:

(a)Revenue function, R(x)=580x-x^2

Marginal Revenue function, R'(x)=580-2x

(b)Fixed cost =900 .

Marginal Cost Function=300+50x

(c)Profit,P(x)=-35x^2+280x-900

(d)x=4

Step-by-step explanation:

<u>Part A </u>

Price Function= 580 - 10x

The revenue function

R(x)=x\cdot (580-10x)\\R(x)=580x-x^2

The marginal revenue function

\dfrac{dR}{dx}= \dfrac{d}{dx}(R(x))=\dfrac{d}{dx}(580x-x^2)=580-2x\\R'(x)=580-2x

<u>Part B </u>

<u>(Fixed Cost)</u>

The total cost function of the company is given by c=(30+5x)^2

We expand the expression

(30+5x)^2=(30+5x)(30+5x)=900+300x+25x^2

Therefore, the fixed cost is 900 .

<u> Marginal Cost Function</u>

If  c=900+300x+25x^2

Marginal Cost Function, \frac{dc}{dx}= (900+300x+25x^2)'=300+50x

<u>Part C </u>

<u>Profit Function </u>

Profit=Revenue -Total cost

580x-10x^2-(900+300x+25x^2)\\580x-10x^2-900-300x-25x^2\\$Profit,P(x)=-35x^2+280x-900

<u> Part D </u>

To maximize profit, we find the derivative of the profit function, equate it to zero and solve for x.

P(x)=-35x^2+280x-900\\P'(x)=-70x+280\\-70x+280=0\\-70x=-280\\$Divide both sides by -70\\x=4

The number of cakes that maximizes profit is 4.

6 0
3 years ago
Which of the lines whose equations are given below is perpendicular to 3x - 12y = 10?
Dmitriy789 [7]

Answer:

1. 8x + 2y = 16

Step-by-step explanation:

3x - 12y = 10

12y = 3x - 10

y = 1/4 x - 5/6  .... slope: 1/4

perpendicular line slope: -4

8x + 2y= 16

2y = -8x + 16

y = -4x + 8  .... slope: -4

6 0
2 years ago
-2=12/x<br><br> pleasee answer
Alecsey [184]

Answer:

Step-by-step explanation:

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3 years ago
a map has a scale of 2in: 6mi. if a two twons on a map is 10 in apart then how far apart are the real twons
Brilliant_brown [7]

Answer:  30 miles

Work Shown:

2 in : 6 mi

5*2 in : 5*6 mi

10 in : 30 mi

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Answer:ayayaa

Step-by-step explanation:

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