Answer:
Step-by-step explanation:
Given
Company Produces and sells 211600 boxes of T-shirt each year
Fixed cost =$ 400
Additional cost = $ 3 per box
storage cost =$ 2
let x be the no of production run
therefore
Holding cost per year 

yearly ordering cost
Total cost C(x)
differentiate C(x) w.r.t to x we get

Put
to get max/min value




therefore 46 runs must be performed
Answer:
(E) None of these above are true.
Step-by-step explanation:
Married = 74% or 0.74
College graduates = 42% or 0.42
pr(married | college graduates) = 0.56
(A) These events are pairwise disjoint. This is false. Pairwise disjoint are also known as mutually exclusive events. Here we can see that both events are occurring at same time.
(B) These events are independent events. This is also false.
(C) These events are both independent and pairwise disjoint. False
(D) A worker is either married or a college graduate always. False
Here Probability(A or B) shall be 1
= Pr(A) + Pr(B) - Pr( A and B) = 0.74 + 0.42 - 0.56 * 0.42 = 0.9248
This is not equal to 1.
(E) None of these above are true. This is true.
The refrigerant can hold 1.92 ft³
Step-by-step explanation:
The formula to apply is that of volume
v=π *r²*h where v is volume, r is radius of cylindrical object and h is height of tubing
Finding volume of using outside diameter
v=π*7/16*7/16*12
v=49/64 *3/1 *3.14
v=7.22 ft³
Volume using inside diameter
v=π*r²*h
v=3.14*3/8*3/8*12
v=5.30 ft³
Volume the refrigerant can hold is;
7.22-5.30 = 1.92 ft³
Learn More
Volume of a cylindrical object:brainly.com/question/2665971
Keywords :conditioning,system,roll,copper tubing,refrigerant
#LearnwithBrainly

Explanation:
Since we have given that
The prices of three t-shirts styles i.e $24, $30, $36 with their probability is given by

As we know that,


Now,

and

So,

So, the expected value of a t-shirt = $31.
Determine the slope of line AB
m = 5
Determine the slope of the lines from the options
First option: y = 5x + 3, the slope is 5
Second option: y = (1/5)x + 3, the slope is 1/5
Third option: y = -5x + 3, the slope is -5
Fourth option: y = (-1/5)x + 3, the slope is -1/5
Parallel lines are similar in the slope. So the line which is parallel to line AB must have the slope of 5.
The answer is first option.