ming rolls a number cube, tosses a coin, and chooses a card from two cards marked a and b. if an even number and heads appears,
2 answers:
Answer:
Step-by-step explanation:
In order to calculate the probability of Ming winning, you just have to multiply both probabilities of obtaining an even number when rolling the dice, and the probability of heads appearing when tossing the coin.
There are 6 numbers in a dice, and there are 3 even numbers, so the probability is 3 out of 6.
The probability of heads appearing when tossing a coin is just 1 out of two.
So the probability of two independent events happening is evaluated by multiplying both probabilities, this would be:
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Let's let
<u>x = the number of chef salads, x>=0</u>
<u>y = the number of Caesar salads, y>=0</u>
The constrains are:
40 <= x <= 60
35 <= y <= 50
x + y <= 100
The objective function here is F(x, y) = 0.75x + 1.20y
The corner points are (40, 35), (60, 35), (60, 40), (50, 50) and (40, 50).
F (40, 35) = 0.75*40 + 1.20*35 = $72
F (60, 35) = 0.70*60 + 1.20*35 = $84
F (60, 40) = 0.75*60 + 1.20*40 = $93
F (50, 50) = 0.75*50 + 1.20*50 = $97.50
F (40, 50) = 0.75*40 + 1.20*50 = $90
Thus, we conclude to maximize the profit 50 Chef and 50 Caesar salads should be prepared.
