Answer:
53
Step-by-step explanation:
when c=6 and d=5 we want to substitute the variables with the numbers in the equation so we'll have
(5) + 8(6)
after evaluating we come up with the answer 53
(8.5*12.4)^(1/2)=10.266
In general the geometric mean is (ab)^(1/2), (abc)^(1/3), (abcd)^(1/4), etc
The nth root of the product of n elements.
Answer: It should be used 2 for type-A and 3 for type-B to minimize the cost.
Step-by-step explanation: As it is stipulated, <u>x</u> relates to type-A and y to type-B.
Type-A has 60 deluxe cabins and B has 80. It is needed a minimum of 360 deluxe cabins, so:
60x + 80y ≤ 360
For the standard cabin, there are in A 160 and in B 120. The need is for 680, so:
160x + 120y ≤ 680
To calculate how many of each type you need:
60x + 80y ≤ 360
160x + 120y ≤ 680
Isolating x from the first equation:
x = 
Substituing x into the second equation:
160(
) + 120y = 680
-3200y+1800y = 10200 - 14400
1400y = 4200
y = 3
With y, find x:
x = 
x = 
x = 2
To determine the cost:
cost = 42,000x + 51,000y
cost = 42000.2 + 51000.3
cost = 161400
To keep it in a minimun cost, it is needed 2 vessels of Type-A and 3 vessels of Type-B, to a cost of $161400
Its {3, 3, 6, 7, 9}
because the difference in values of 6 and the other numbers are the same as difference between 5 and the other numbers in { 2, 2, 5, 6, 8}