Answer:
<em>f</em> has no critical points.
Step-by-step explanation:
We are given:
A function has critical points whenever its derivative equals 0 or is undefined.
Differentiate the function:
Since this will never be undefined, solve for its zeros:
Hence:
Recall that the value of sine is always between -1 and 1.
Thus, no real solutions exist.
Therefore, <em>f</em> has no critical points.
Answer:
The company should make 0 jumbo and 300 regular biscuits.
The maximum income is $42.
Step-by-step explanation:
Let's say J is the number of jumbo biscuits and R is the number of regular biscuits.
The oven can bake at most 300 biscuits. So:
J + R ≤ 300
Each jumbo biscuit uses 2 oz of flour, and each regular biscuit uses 1 oz of flour. There is 500 oz of flour available. Therefore:
2J + R ≤ 500
Income from jumbo biscuits is $0.12, and income from regular biscuits is $0.14. So the total income is:
I = 0.12J + 0.14R
Graph the two inequalities under the condition that J ≥ 0 and R ≥ 0:
desmos.com/calculator/aea00cmpwm
The region where the inequalities intersect has 4 corners:
(J, R) = (0, 0); (0, 300); (250, 0); (200, 100)
Find the income at each point:
(0, 0): I = 0
(0, 300): I = 42
(250, 0): I = 30
(200, 100): I = 38
The company makes maximum profit of $42 by baking 0 jumbo biscuits and 300 regular biscuits.
Answer:
323 senior citizens 200 adaults
Step-by-step explanation:
Answer:
120 planters.
Step-by-step explanation:
given each planter can hold (1/8) of soil
i.e:
1/8 bag -------> can fill 1 planter
1 bag -----------> can fill 1 / (1/8) = 8 planters
15 bags ---------> can fill 8 planters per bag x 15 bags = 120 planters.
According to the statement,
(5/6)a - (1/3)a = 13
(5 - 2) a / 6 = 13
a = 26 gallons
