The length of a rectangle is 4 units shorter than half the width. If the length of the rectangle is 18 units, which equation can
2 answers:
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Answer:
a. $1.03
b. $0.93
c. 0.98
d. 2 workers
Step-by-step explanation:
a. Given that:
- 1 computer : 1 worker : inventory 150 items per hour
- 1 computer : 2 workers : inventory 200 items per hour
- 1 computer : 3 workers : inventory 220 items per hour
- 1 computer : 4+ workers : fewer than 235 items per hour
- Cost: $100 per computer ; $25 per worker
The fixed production factor in the warehouse is the computer used:
-One computer used, but the number of users is varied to inventory a specified number of items.
-The variable production factor is the number of workers assigned per one computer.
#The cost of inventorying a single item by one worker is:
Hence, the cost of inventorying a single item is $1.03
b. Using the information provided above, the cost of inventorying a single item when two workers are assigned is :
Hence, the cost of inventorying a single item is $0.93
c.Using the information provided above, the cost of inventorying a single item when three workers are assigned is :
Hence, the cost of inventorying a single item is $0.98
d. To determine the most cost-effective job assignment, we calculate the cost of 4+ workers.
Take any number less than 235(say 234) as the inventory units:
From our calculations, it's clear that two workers per computer costs the least amount($0.93) per unit item. Hence, it is best to assign two workers per computer.
Answer:
- (1,3) is inside the triangle
Step-by-step explanation:
Orthocenter is the intersection of altitudes.
We'll calculate the slopes of the two sides and their altitudes ad find the intersection.
<h3>Side QR</h3>- m = (3 - 5)/(4 - (-1)) = -2/5
<u>Perpendicular slope:</u>
- -1/m = 5/2
<u>Perpendicular line passes through S(-1, -2):</u>
- y - (-2) = 5/2(x - (-1)) ⇒ y = 5/2x + 1/2
- m = (-2 - 3)/(-1 -4) = -5/-5 = 1
<u>Perpendicular slope:</u>
- -1/m = -1/1 = -1
<u>Perpendicular line passes through Q(-1, 5):</u>
- y - 5 = -(x - (-1)) ⇒ y = -x + 4
The intersection of the two lines is the orthocenter.
<u>Solve the system of equations to get the coordinates of the orthocenter:</u>
- 5/2x + 1/2 = x + 4
- 5x + 1 = -2x + 8
- 7x = 7
- x = 1
<u>Find y-coordinate:</u>
- y = -1 + 4 = 3
The orthocenter is (1, 3)
If we plot the points, we'll see it is inside the triangle
