Triangle area formula 1/2bxh
12/2=6 6x12=72
Let the number of type A surfboards to be ordered be x and the number of type B surfboards be y, then we have
Minimize: C = 272x + 136y
subject to: 29x + 17y ≥ 1210
x + y ≤ 50
x, y ≥ 1
From the graph of the constraints, we have that the corner points are:
(20, 30), (41.138, 1) and (49, 1)
Applying the corner poits to the objective function, we have
For (20, 30): C = 272(20) + 136(30) = 5440 + 4080 = $9,520
For (41.138, 1): C = 272(41.138) + 136 = 11189.54 + 136 = $11,325.54
For (49, 1): C = 272(49) + 136 = 13328 + 136 = $13,464
Therefore, for minimum cost, 20 type A surfboards and 30 type B surfboards should be ordered.
Hi there! Bananas are sold at $0.80 per pound and grapes are sold at $2.50 per pound. To find out how much Mrs. Anderson spent overall, we need to find out how much she spent with each item and then add them up together. She bought 4.3 pounds of bananas and 2.1 pounds of grapes. Let's multiply each of them by the unit prices there are. 4.3 * 0.8 is 3.44 and 2.1 * 2.5 is 5.25. 3.44 + 5.25 is 8.69. There. Mrs. Anderson spent a total of $8.69.
Answer:
The answer is below
Step-by-step explanation:
a) The baseball player leaps into the air with an initial velocity of 14 feet per second. This means that the player leaps from the ground, the initial height is therefore zero.
The height (y) is given by the formula:
y(t) = ut - (1/2)gt² + initial heigth
u = initial velocity = 14 ft/s, t = time taken, g = acceleration due to gravity = 32 ft/s². Substituting:
y(t) = 14t - (1/2) * 32 *t² + 0
y(t) = 14t - 16t²
b) when the player is on the ground, the height = 0. hence:
0 = 14t - 16t²
16t² - 14t = 0
t(16t - 14) = 0
t = 0 or 16t - 14 = 0
t = 0 or 16t = 14
t =0 or t = 0.875
Hence t = 0.875 seconds
c) The domain is the set of possible values for the time. Hence:
Domain = (0, 0.875] = 0 < t ≤ 0.875
so that's what I'll use, but it doesn't matter.