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irina1246 [14]
2 years ago
9

Wally's T-shirt company estimates the demand function for the Red sox world series t-shirt to be:

Mathematics
2 answers:
Zinaida [17]2 years ago
8 0

Answer:costC(p)= 1400+20p

R(p)= 4p^2+200p

Profit= 4p^2+ 180p-1400

Step-by-step explanation:

q=4p+200

Student council charge $400 per week.

Revenue= price × quantity.

Relationship between revenue and profit= Revenue-total cost.

Total cost= cost of facilities +(cost of one shirt)× number of T-shirts sold per week.

C(p)= 400 + 5(q)

Put q=4p+200

C(p)= 400 + 5 (4p +200)

C(p)= 400+ 20p + 1000

C(p)= 1400+ 20p

Relationship between revenue and price=Revenue= price × quantity

R(p)= p×q

Put q=4p +200

R(p)= p ×(4p +200)

R(p)= 4p^2+ 200p

Profit= Revenue - total cos

Profit=R(p) -C(p)

Profit= (4p^2 + 200p) - ( 20p +1400)

Profit= 4p^2 + 180p -1400

sertanlavr [38]2 years ago
6 0

Answer:

(i) The cost function is C(q) =5q + 400

(ii) The profit function =5q - q^2 /4for weekly profit

(iii)  the maximum profit is $243.75

Step-by-step explanation:

(i) the cost function will be C(q) = FC(q) + V(q)

fixed costs FC(q) as a function of quantiyy and variable costs VC(q) we already know that the fixed cost is the $400 per week from charges to use facilities then Variable costs is $5 times the quantity of t shirts sold per week.

so C(q) = $400 + 5q

(ii) The profit function will be found by multiplying quantity demanded with the price at which that quantity is demanded at so we have a demand function q= -4p + 200 then we make the price the subject of the formula

p = 200/4 - q/4 we divided both sides by 4 after transposing -4p

then we get p= 50 - q/4 which is the price of the quantity demanded then we multiply this price by q

thereafter we get pq = 50q - q^2 /4

which is our profit function because p x q is revenue/ profit ;

Profit = 50q - q^2 / 4

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3 years ago
What is the value of x in the equation -2/3 x +9= 4/3x -3?
HACTEHA [7]

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hope that helps



5 0
3 years ago
Alex and Freddy collect stamps. The number of stamps in Alex’s collection to the number of stamps in Freddy’s collection is in t
vazorg [7]

Remark

The trick here is to realize that you have to find the number both have in order to find the difference. That means you take (effectively) 3/8 and 5/8 to find out how much each of them has. The 8 stands for the 136

Step One

Find the number of stamps Alex has. Remember his ratio is the smaller so he will have 3/8

Alex = 3/8 * 136

Alex = 408/8 = 51

Step 2

Find the number that Freddy has.

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<u>Formula</u>

Freddy = Total - Alex

Freddy = 136 - 51

Freddy = 85

<u>Check</u>

Let us see if 5/8 * 136 = 85

5*136/8 = 680 / 8 = 85 So your answers are correct.

Difference

Difference = 85 - 51 = 34 which is how many more stamps Freddy has than Alex.

5 0
3 years ago
Pleaseee Help. What is the value of x in this simplified expression?
Oduvanchick [21]

9514 1404 393

Answer:

  x = 7

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Step-by-step explanation:

The applicable rule of exponents is ...

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For a=-j and b=7,

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For a=k and b=-5,

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7 0
3 years ago
What is the awnser to 48 - (-12)
valkas [14]
I got 48-(-12) equals to 60
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3 years ago
Read 2 more answers
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