Question

Let P(Z)equals=0.390.39, P(Y)equals=0.410.41, and P(Zintersect∩Y)equals=0.170.17. Use a Venn diagram to find (a) Upper P left parenthesis Upper Z prime intersect Upper Y prime right parenthesisPZ′∩Y′, (b) Upper P left parenthesis Upper Z prime union Upper Y prime right parenthesisPZ′∪Y′, (c) Upper P left parenthesis Upper Z prime union Upper Y right parenthesisPZ′∪Y, and (d) Upper P left parenthesis Upper Z intersect Upper Y prime right parenthesisPZ∩Y′.

Answer #1

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For the demand function
q equals Upper D left parenthesis p right parenthesis equals 352
minus pq=D(p)=352−p,
find the following.
a) The elasticity
b) The elasticity at
pequals=118118,
stating whether the demand is elastic, inelastic or has unit
elasticity
c) The value(s) of p for which total revenue is a maximum
(assume that p is in dollars)

Market supply and demand for ovens are given by p equals Upper S
left parenthesis q right parenthesis equals 1750 plus 5 q and p
equals Upper D left parenthesis q right parenthesis equals 2500
minus 10 q. The equilibrium price is $2000 per oven.
(a) Find the market surplus up to equilibrium using the
integral definition.
(b) Verify the market surplus by calculating
MSequalsCSplusPS.

A record club has found that the marginal profit,
Upper P prime left parenthesis x right parenthesisP′(x) ,
in cents, is given by
Upper P prime left parenthesis x right parenthesis equals
negative 0.0008 x cubed plus 0.35 x squared plus 52.9
xP′(x)=−0.0008x^3+0.35x^2+52.9x
for
x less than or equals x≤400 ,
where x is the number of members currently enrolled in the club.
Approximate the total profit when
240 members are enrolled by computing the sum
Summation from i equals...

Suppose that E and F are two events and that
Upper P left parenthesis Upper E right
parenthesisP(E)equals=0.8
and
Upper P left parenthesis F|E right
parenthesisP(F|E)equals=0.2
What is
Upper P left parenthesis Upper E and Upper F right
parenthesisP(E and F)?

Given Cost and Price (demand) functions Upper C left
parenthesis q right parenthesis equals 120 q plus 45000 and p left
parenthesis q right parenthesis equals negative 2.1 q plus 900,
what is the marginal revenue when profits are $14000?

For the demand function
q equals Upper D left parenthesis x right parenthesis equals
StartFraction 400 Over x EndFractionq=D(x)=400x,
find the following.
a) The elasticity
b) The elasticity at
xequals=77,
stating whether the demand is elastic, inelastic, or has unit
elasticity
c) The value(s) of x for which total revenue is a maximum
(assume that x is in dollars)

Let S be a sample space and E and F be events associated with S.
Suppose that
Pr left parenthesis Upper E right parenthesis equals
0.6Pr(E)=0.6,
Pr left parenthesis Upper F right parenthesis equals
0.2Pr(F)=0.2
and
Pr left parenthesis Upper E intersect Upper F right parenthesis
equals 0.1Pr(E∩F)=0.1.
Calculate the following probabilities.
(a) Pr left parenthesis E|F right
parenthesisPr(E|F)
(b) Pr left parenthesis F|E right
parenthesisPr(F|E)
(c) Pr left parenthesis E| Upper F prime right
parenthesisPrE|F′
(d) Pr left parenthesis...

If npgreater than or equals5 and nqgreater than or equals5,
estimate Upper P left parenthesis at least 11 right parenthesis
with nequals13 and pequals0.6 by using the normal distribution as
an approximation to the binomial distribution; if npless than5 or
nqless than5, then state that the normal approximation is not
suitable. Select the correct choice below and, if necessary, fill
in the answer box to complete your choice.
A. Upper P left parenthesis at least 11 right parenthesisequals
nothing (Round...

The minimum value of f left parenthesis x comma y comma z right
parenthesis equals x y z subject to the constraint x plus 9 y
squared plus z squared equals 4 comma space x greater than 0 is
obtained at open parentheses 2 comma negative 1 third comma
negative 1 close parentheses.

1. (a) Construct the matrix Upper A equals left bracket Upper A
Subscript ij right bracketA=Aij if A is 2*3 and
Upper A Subscript ij Baseline equals negative i plus 4
jAij=−i+4j.
(b) Construct the 2*4 matrix Upper C equals left bracket left
parenthesis 3 i plus j right parenthesis squared right
bracketC=(3i+j)2.
2.
Solve the following matrix equation.
left bracket Start 2 By 2 Matrix 1st Row 1st Column 3 x 2nd
Column 4 y minus 5 2nd Row...

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