Skateboard Revenue: A skateboard shop sells about 50 skateboards per week for the price advertised. For each $1 decrease in price, about 1 more skateboard per week is sold. The shop's revenue can be modeled by y=(70-x) (50+x). Use vertex form to find how the shop can maximize weekly revenue. [I can get this into vertex form, but I'm not understanding how to read the vertex form of the equation to answer the question]

Answers

Answer 1

Answer:

60 skateboards were sold for maximum revenue.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Quantity Demanded is inversely related to price as Quantity Demanded increases then price decreases.

Initially,

Q = 50 when P =70

Q = 51 when P=69

Finally, Q=0 when P =120

Q=120 when P=0

Slope = -1

Use the point slope formula

y=mx + b

or Q=-P+b

50= -70+120

b=120

So, Q=-P+120 is the equation for the demand curve

now, Revenue

PQ = P(-P+120) = -P2 + 120P

R' = -2P + 120 and set it equal to zero and solve for P

-2P+120 = 0

2P=120

P = $60

That is the revenue maximizing price plug it into the demand curve equation

Q=-P+120

Q=-60+120

Q = 60

Thus, the number of skateboards sold that maximizes revenue is 60

and, the maximum revenue = 60x60

= $3,600 for a week

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Answer 2

Answer:

Answer:

fds

Step-by-step explanation:

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What is the inverse operation of 102÷3=34

Answers

The answer would be 102 ÷ 34 = 3

the answer is 102÷34=3

Miller School has 2 boys for every 3 girls in the fifth grade. There are 120 students in the fifth grade. How many girls are there? How many boys are there?

Answers

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David invested $220 in a savings account that offers a 3% return on the investment. How many years will the value of David's investment will reach at least $400 ?

Answers

FV = PV ( 1 + i ) ^t
FV = $400, PV = $220, i = 3% = 0.03
400 = 220 * ( 1 + 0.03 ) ^t
( 1 + 0.03 ) ^t = 400 : 220 = 1.818181
t = log ( 1.03 ) 1.81818
t = 20
After 20 years his investment will reach at least $400.

Answer:

t=20

Step-by-step explanation:

13 over 16 minus 3 over 8