9514 1404 393
Answer:
f(x) = -4x^2 +48x -129
Step-by-step explanation:
It usually works well to compute the square first. That is, simplify according to the order of operations.
f(x) = -4(x^2 -12x +36) +15
f(x) = -4x^2 +48x -144 +15
f(x) = -4x^2 +48x -129
Answer:
B. the more inelastic is the demand for the final product.
Explanation:
Inelastic demand occurs when demand rises by a lower percentage as compared to the percentage of the price drop.
Take for instance, if price drops by 10% and then demand only rises by 4%.
Now, the derived demand curve for a product component will be more inelastic when there's more rises by lower percentages of the final product than price drop. The more inelastic the demand for a product is, the more inelastic the demand derive curve will be.
Total tickets sold = 800
Total revenue = $3775
Ticket costs:
$3 per child,
$8 per adult,
$5 per senior citizen.
Of those who bought tickets, let
x = number of children
y = number of adults
z = senior citizens
Therefore
x + y + z = 800 (1)
3x + 8y + 5z = 3775 (2)
Twice as many children's tickets were sold as adults. Therefore
x = 2y (3)
Substitute (3) into (1) and (2).
2y + y + z = 800, or
3y + z = 800, or
z = 800 - 3y (4)
3(2y) + 8y + 5z = 3775, or
14y + 5z = 3775 (5)
Substtute (4) nto (5).
14y + 5(800 - 3y) = 3775
-y = -225
y = 225
From (4), obtain
z = 800 - 3y = 125
From (3), obtain
x = 2y = 450
Answer:
The number of tickets sold was:
450 children,
225 adults,
125 senior citizens.
Answer:
12:1
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