Answer:
A: cost = 10+x; customers = 16-2x
B: -2x² -4x +160 ≥ 130
Step-by-step explanation:
In these price and revenue optimization problems, the relation between price and sales is given in the problem statement. After that is translated to math terms, the revenue as the product of price and sales can be determined.
<h3>Part A</h3>
The variable x is defined as the number of $1 increases from a price of $10. That means ...
Cost = 10 +x
For each $1 increase, the number of customers decreases by 2 from a starting value of 16:
Customers = 16 -2x
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<h3>Part B</h3>
The problem statement tells you the revenue (per hour) is the product of cost and number of customers. The owner wants this to be at least 130:
(Cost)(Customers) ≥ 130
(10 +x)(16 -2x) ≥ 130
160 -20x +16x -2x² ≥ 130 . . . . eliminate parentheses
-2x² -4x +160 ≥ 130 . . . . . . . . . put in required standard form
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<em>Additional comment</em>
The attached graph shows the solution to this quadratic inequality is ...
-5 ≤ x ≤ 3
and that revenue can be increased by $2 per hour by decreasing cost $1 (x=-1).
Hello! Your answer is 7 degrees.
A set of complementary angles are ones which, when their measurements are added, will equal up to 90 degrees. For example, the complementary angle of a 80 degree angle would be 10 degrees. A supplementary angle also falls in the same category, however it is adding up to 180 degrees. The way I remember which one is which is that <u>c comes first in the alphabet, and 90 degrees comes before 180 degrees.</u>
Applying that knowledge, 83 plus the complementary angle must equal 90. 83 + 7 = 90, therefore, the complementary angle measures 7 degrees.
Hope this helps!
Answer:
50 60
Step-by-step explanation:
because if u add then multiply ok multiply 60 and 50 then,you add it you get ur answer
Answer:
The probability that exactly two have flaws is P (x=2) = 0.2376
Step-by-step explanation:
Here
Success= p= 0.15
Failure = q= 0.85
total number= n= 8
Number chosen = x= 2
Applying the binomial distribution
P (x=x) = nCx p^x(q)^n-x
P (x=2) = 8C2 0.15 ²(0.85)^8
P (x=2) = 0.2376
The success is chosen about which we want to find the probability. Here we want to find the probability that exactly two have flaws so success would be having flaws therefore p = 0.15
Answer:
361.27 Pound sterling
Step-by-step explanation:
