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The graph of the function C(x) = −0.52x2 + 23x + 92 is shown. The function models the production cost, C, in thousands of dollars for a candle company to manufacture a candle, where x is the number of candles produced, in thousands:

If the company wants to keep its production costs under $225,000, then which constraint is reasonable for the model?
0 ≤ x < 6.84 and 37.39 < x ≤ 47.92
−3.69 ≤ x ≤ 6.84 and 37.39 < x ≤ 47.92
−3.69 ≤ x ≤ 47.92
6.84 ≤ x ≤ 37.39

First one

Step-by-step explanation:

B and C aren't it as you cannot produce a negative amount of things. D is also incorrect as its range is exclusively stuff above the $225,000 they're trying to stay below. A is correct as it shows the positive range of values that stay below $225,000

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

50.6

step-by-step explanation: