Answer:
a. profit is lower
b. lowest price $2.29
Step-by-step explanation:
a. We have to analyze how this especial order affect the profit of the company
Profit = Revenue- Total cost = P(x) =(Px * Q)-(FC + vc*Q)
Regular production profit= $2.85 x 18,400 units -$2.60 x 18,400 units=
Regular production profit=4600
Production with special order= (P1 * Q1)+(P2 * Q2)-(FC + vc*Q)
P2= price of special order
Q2= quantity of special order
Q= Q1 +Q2
Production with special order= (P1 * Q1)+(P2 * Q2)-(FC + vc*Q)= $2.85 x 18,400 units +$1.85 x 800 units - $18,400- $1.60 x 19600=
Production with special order= 51888 +1480- $18,400- 30720
Production with special order= 4.248
b.Production with special order= (P1 * Q1)+(P2 * Q2)-(FC + vc*Q) =4600
=51888 +(P2 * 800)- $18,400- 30720 =4600
=(P2 * 800)= 4600- 51888 + $18,400+30720
P2=1.832/800 = 2,29
Answer:
y=-3x^2+12x+63
Step-by-step explanation:
y=-3(x-7)(x+3)
y=-3(x^2-4x-21)
y=-3x^2+12x+63
Answer:
a) False
b) False
c) True
d) False
e) False
Step-by-step explanation:
a. A single vector by itself is linearly dependent. False
If v = 0 then the only scalar c such that cv = 0 is c = 0. Hence, 1vl is linearly independent. A set consisting of a single vector v is linearly dependent if and only if v = 0. Therefore, only a single zero vector is linearly dependent, while any set consisting of a single nonzero vector is linearly independent.
b. If H= Span{b1,....bp}, then {b1,...bp} is a basis for H. False
A sets forms a basis for vector space, only if it is linearly independent and spans the space. The fact that it is a spanning set alone is not sufficient enough to form a basis.
c. The columns of an invertible n × n matrix form a basis for Rⁿ. True
If a matrix is invertible, then its columns are linearly independent and every row has a pivot element. The columns, can therefore, form a basis for Rⁿ.
d. In some cases, the linear dependence relations among the columns of a matrix can be affected by certain elementary row operations on the matrix. False
Row operations can not affect linear dependence among the columns of a matrix.
e. A basis is a spanning set that is as large as possible. False
A basis is not a large spanning set. A basis is the smallest spanning set.
In calculus, the squeeze theorem, also known as the pinching theorem, the sandwich theorem, the sandwich rule, the police theorem, the between theorem and sometimes the squeeze lemma, is a theorem regarding the limit of a function. In Italy, the theorem is also known as theorem of carabinieri.
