A coin collection is made up of 34 coins, all nickels and dimes. The total value of the collection is $1.90. How many nickels ar
1 answer:
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Answer:
A) allows the population effect on log earnings of being married to depend on gender
Step-by-step explanation:
The regression equation of a dependent variable based on two or more independent variables is of the form:
Here,
<em>Y</em> = dependent variable
and
= independent variables
= interaction term
= regression coefficients.
If there is a significant interaction effect present then this implies that the effect of one independent variable ( or
) on the dependent variable (<em>Y</em>) differs every time with different value of the other independent variable (
or
) .
The provided regression equation is:
= dependent variable
and
= independent variables
In this case the interaction term is defined as follows:
The effect of being married on log earnings is dependent on different values of the variables , i.e. the gender of the
person.
Thus, the correct option is (A).
Answer:
1. Objective function is a maximum at (16,0), Z = 4x+4y = 4(16) + 4(0) = 64
2. Objective function is at a maximum at (5,3), Z=3x+2y=3(5)+2(3)=21
Step-by-step explanation:
1. Maximize: P = 4x +4y
Subject to: 2x + y ≤ 20
x + 2y ≤ 16
x, y ≥ 0
Plot the constraints and the objective function Z, or P=4x+4y)
Push the objective function to the limit permitted by the feasible region to find the maximum.
Answer: Objective function is a maximum at (16,0),
Z = 4x+4y = 4(16) + 4(0) = 64
2. Maximize P = 3x + 2y
Subject to x + y ≤ 8
2x + y ≤ 13
x ≥ 0, y ≥ 0
Plot the constraints and the objective function Z, or P=3x+2y.
Push the objective function to the limit in the increase + direction permitted by the feasible region to find the maximum intersection.
Answer: Objective function is at a maximum at (5,3),
Z = 3x+2y = 3(5)+2(3) = 21
