A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depen
ds on the number of machines made. If X machines are made, then the unit cost is given by the function C (x) = 1.2x^2 -600x + 89,966. How many machines must be made to minimize the unit cost?
Do not round your answer.
Do not round your answer.
1 answer:
Answer:
x = 250 units
Step-by-step explanation:
We can easily solve this problem by using a graphing calculator or any plotting tool.
We must find the minimum point in the graph. This corresponds to the number of machines that produce the minimum cost.
The equation is
C (x) = 1.2x^2 -600x + 89,966
Please see attached image below
By producing x = 250 units, we obtain the minimum cost
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Answer:
(a) 185/703
(b) 518/703
(c) 45/703
(d) 140/703
(e) 140/703
(f) 378/703
(g) 185/703
Step-by-step explanation:
Let the event of pledge member be P and event of full member be F
(a)If the first is a pledge, then the second is either a pledge or a member.
required Probabability = [P n (PUF)]
= Pr(PnP) U Pr (PnF)
= 10/38 × 9/37 + 10/38 × 28/38
= 90/1406 + 289/1406 = 370/1406
= 185/703
(b) if the person selected is not a pledge then the person is a full member and the second is either a full member or pledge
The required probability = Fn(FUP) =Pr (FnP) U Pr(FnF)
= 28/38 × 10/37 + 28/38 × 27/37
= 280/1406 + 756/140 = 1036/1406
= 518/703
(c) probability required= Pr(P/P) = Pr(PnP) = 10/38 × 9/37
= 90/1406
= 45/703
(d) Probability required = Pr(F/P)
= Pr(P) nPr(F) = 10/38 × 28/37
= 280/1406
= 140/703
(e) Probability required = Pr(P/F)
= Pr(F) n Pr(P)
= 28/38 × 10/37 =280/1406
=140/704
(f) Probability required = Pr (FnF)
= Pr(F) n Pr(F)
= 28/38 × 27/37= 756/1406
= 378/703
(g) it is the either the first person is a pledge member or a full member
Probability required = Pr[(PnP) U (FnP)]
= Pr(PnP) + Pr(FnP)
= 10/38 × 9/37 + 28/38 × 10/37
= 90/1406 + 280/1406
= 370/1406
= 185/703
(h) see attachment.
Answer:
The true statement is <u>Line h has points on planes R, P, and T</u>
Step-by-step explanation:
The rest of the question is the attached figure
According to the graph, we will check which option is true.
a. Line h intersects line f at two points, A and B (<u>Wrong</u>)
<u>Because</u>: h intersects line f at B only.
b. Line h is the intersection of planes R and T (<u>Wrong</u>)
<u>Because</u>: g is the intersection of planes R and T
c. Line h intersects plane P at point C (<u>Wrong</u>)
<u>Because</u>: h intersects plane P at point B
d. Line h has points on planes R, P, and T (<u>True</u>)
<u>Because </u>h has the point B on the plane P, h has the point A on the plane T
and the points of h on the plane R
Answer:
- 30.5 cm
Step-by-step explanation:
<em>Refer to attached</em>
- Height of plants (h) >> Frequency >> Midpoint >> Frequency x midpoint
- 0 <h < 10 >> 1 >> 5 >> 5
- 10 <h < 20 >> 4 >> 15 >> 60
- 20 <h < 30 >> 7 >> 25 >> 175
- 30 <h < 40 >> 2 >> 35 >> 70
- 40 <h < 50 >> 3 >> 45 >> 135
- 50 <h < 60 >> 3 >> 55 >> 165
Sum of frequencies = 20
Sum of frequency x midpoint product = 610
<u>Mean height </u>
- 610/20 = 30.5 cm
