A RSS Clothing manufacturer makes two types of jogging pants, design A and design B. The design A jogging pants sells to the ret
ail stores for 2,500each and the design B jogging pants for 2,100. The cost for manufacturing each design A is 1,750 and the cost of each design B is 1,200. If the manufacturer makes no more than 120 jogging a week and budget no more than 150,000 per week, how many of each type should be made to maximize profit?
1 answer:
Answer:
120 of design B
Step-by-step explanation:
The profit per dollar cost for design A is (2500/1750 -1) ≈ 0.43. For design B, it is (2100/1200 -1) ≈ 0.75. Design B is more profitable and less expensive to make, so its production should be maximized.
For maximum profit, 120 jogging pants of design B should be made each week.
_____
The budget of 150,000 would allow 150,000/1,200 = 125 pants of design B to be made. The production limit of 120 pants does not use the entire budget.
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Answer:
No. James didn't have enough ticket takers to process the average number of patrons hat usually attend the events.
He need to hire 2 more ticket taker (i.e 20 ticket takers) in order to process the average number of patrons hat usually attend the events.
Step-by-step explanation:
Given:
Average amount of patron per event= 7000
Each ticket taker can process = 350
Number of ticket takers hired = 18
We need to find the whether he hire enough to process the average number of patrons that usually attend the events.
Solution:
We will find the Average amount of patron ticket takers can process.
Now we can say that
Average amount of patron ticket takers can process is equal to Each ticket taker can process multiplied by Number of ticket takers hired.
framing in equation form we get;
Average amount of patron ticket takers can process =
Hence With the required hires James cannot fully process the patrons usually attending the event.
To find how many ticket takers required we will divide average number of patrons with Each ticket taker can process.
framing in equation form we get;
ticket takers required =
hence In order t process the the average number of patrons that usually attend the events James will require 20 ticket takers.
Answer: = 1087.5
Step-by-step explanation: To evaluate the triple integral, first an equation of a plane is needed, since the tetrahedon is a geometric form that occupies a 3 dimensional plane. The region of the integral is in the attachment.
An equation of a plane is found with a point and a normal vector. <u>Normal</u> <u>vector</u> is a perpendicular vector on the plane.
Given the points, determine the vectors:
P = (5,0,0); Q = (0,9,0); R = (0,0,4)
vector PQ = (5,0,0) - (0,9,0) = (5,-9,0)
vector QR = (0,9,0) - (0,0,4) = (0,9,-4)
Knowing that cross product of two vectors will be perpendicular to these vectors, you can use the cross product as normal vector:
n = PQ × QR =
n = 36i + 0j + 45k - (0k + 0i - 20j)
n = 36i + 20j + 45k
Equation of a plane is generally given by:
Then, replacing with point P and normal vector n:
The equation is: 36x + 20y + 45z - 180 = 0
Second, in evaluating the triple integral, set limits:
In terms of z:
When z = 0:
When z=0 and y=0:
x = 5
Then, triple integral is:
Calculating:
= 1087.5
<u>The volume of the tetrahedon is 1087.5 cubic units.</u>
