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Mariulka [41]
3 years ago
10

An incentive clause in Barry Bonds contract allows for a 3.4% bonus if he hits over 719 home runs in this season. His contract i

s currently valued at $14, 500,000 What would the bonus be worth?
Mathematics
2 answers:
Dennis_Churaev [7]3 years ago
4 0

Percentage of bonus = 3.4% = \frac{3.4}{100}= 0.034

Current value of contract = $14, 500,000

To calculate the bonus for the current value we multiply the bonus percentage and the current value

Bonus for the current value = 14, 500,000 * 0.034 = 493,000

So the bonus worth is $493,000

N76 [4]3 years ago
3 0
The bonus would be worth $493,000.

3.4% = 3.4/100 = 0.034; 3.4% of 14500000 = 0.034(14500000) = 493000.
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Answer:

Maximum = 540 at (6,14)

Minimum = 300 at (0,10) or (12,2).

Step-by-step explanation:

The given linear programming problem is

Minimize and maximize: P = 20x + 30y

Subject to constraint,

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The related equation of given inequalities are

2x+3y=30

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Table of values are:

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For inequality (2).

x      y

0     26

13     0

For inequality (3).

x      y

0     10

15     0

Pot these ordered pairs on a coordinate plane and connect them draw the corresponding related line.

Check each inequality by (0,0).

2(0)+3(0)\ge 30\Rightarrow 0\ge 30    False

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-2(0)+3(0)\le 30\Rightarrow 0\le 30    True

It means (0,0) is included in the shaded region of inequality (2) and (3), and (0,0) is not included in the shaded region of inequality (1).

From the below graph it is clear that the vertices of feasible region are (0,10), (6,14) and (12,2).

Calculate the values of objective function on vertices of feasible region.

Point           P = 20x + 30y

(0,10)           P = 20(0) + 30(10) = 300

(6,14)           P = 20(6) + 30(14) = 540

(12,2)           P = 20(12) + 30(2) = 300

It means objective function is maximum at (6,14) and minimum at (0,10) or (12,2).

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