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The demand function of a firm isย
๐=90โ1,5๐,
Q=90โ1,5P,
whereย ๐
Pย andย ๐
Qย represent the price and quantity, respectively. At what price is revenue a maximum?
a.15
b.30
c.270
d.90
The demand functionย ๐(๐)
Q(P)ย and cost functionsย ๐ถ(๐)
C(Q)ย of a company's are given by the equations:
๐=12000โ60๐
Q=12000โ60P
๐ถ(๐)=10000+4๐,
C(Q)=10000+4Q,
whereย ๐
Pย andย ๐
Qย are the price and quantity, respectively.ย
What is the company's profit function?
a.
=โ60๐โ4๐+2ย 000
=โ60Pโ4Q+2ย 000
b.
=โ60๐
2
+11ย 760๐โ58ย 000
=โ60P2+11ย 760Pโ58ย 000
c.
=โ60๐
2
+12ย 240๐โ58ย 000
=โ60P2+12ย 240Pโ58ย 000
d.
=โ60๐
2
+12ย 240๐+38ย 000
obtain first three terms of taylors series for f(z) = sin z about 2=0
Obtain first three terms of taylors series for f(z) = sin z about z =0
Implicit and a parametric representation for the plane containing both ๐ and ๐
Demandunits: 7 100(2022), 9 100(2023), 11 100(2024), 4 100(2024)
Initial investment $20 000
Maximumadditional units 5 000 units
Currentselling price $50/unit
Variableoperating costs $28/unit
Fixedoperating costs $15 000/year
If production remained at 5,100 units, the current selling price would be expected to continue throughout the remainder of the life of the product. However, if production is increased, it is expected that the selling price will fall to $45 per unit for all units sold. Again, this will last for the remainder of the life of the product. No terminal value or machinery scrap value is expected at the end of four years, Good Hope uses a nominal discount rate of 10% per year and a target return on capital employed of 20% per year. Ignore taxation.
(a)Calculate
(i)net present value;
(ii) internal rate of return;
(iii)return on capital employed based on initial investment
(iv)discounted payback period
Carlos has 16 magazines to read.
Let m be the number of magazines he would read after R of them.
Write an equation relating M to R. Then use this equation to find the number of magazines he would have left to read after reading 11 of them.
Tubeit-Biner et al. (A-9) found that the number of serious gastrointestinal reactions reported to British Committee on Safety of Medicine was 538 for 9,160,000 prescriptions of the anti-inflamma drag piroticam. This corresponds to a rate of 058 gastrointestinal reactions per 1000 prescriptio written. Using a Poisson model for probability, with A-06, find the probability of (a) Exactly one gastrointestinal reaction in 1000 prescriptions (b) Exactly two gastrointestinal reactions in 1000 prescriptions (c) No gastrointestinal reactions in 1000 prescriptions (d) At least one gastrointestinal reaction in 1000 prescriptions
The length of the base of a rectangular prism is twice its width. The perimeter of the base is 42 yards. If the volume of the prism is 980 cubic yards, find the height of the prism.
1. What formula is used to determine the standard error of the mean when the
population variance is unknown?
2. What necessary formula should be used to find the mean of the sampling
distribution of the sample mean when the population variance is known?
3. What is the test variate used when the population variance is unknown and when
the population variance is known?
