In order to maximize profit, 4800 Expresso machines and 0 food processors should be produced.
<h3>How to maximize profit</h3>
From the information given, the contribution margin per hour for Expresso makers will be:
Sales price = $225
Less: Variable cost = $190
Contribution margin = $35
Units per hour = $3
Contribution margin per machine hour = $35 × 3 = $105
Also, the Contribution margin per machine hour for food processor is $90.
Number of units available = 1600
Units per machine hour = 3.
Units to manufacture = 1600 × 3 = 4800
Therefore, to maximize profit, 4800 Expresso machines and 0 food processors should be produced.
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Complete Question:
The mean life of a large shipment of CFLs is equal to 7,500 hours. The population standard deviation is 1,000 hours. A random sample of 64 CFLs indicate a sample life of 7,250 hours.
1. State the Null and Alternative Hypothesis.
2. At the 0.05 level of significance, is there evidence that mean life is different from 7,500 hours.
3. Construct a 95% confidence interval estimate of the population mean life of the CFLs.
4. Compute the p-value and interpret its meaning.
Answer:
-2, (7005, 7450), 0.045
Explanation:
1).
H₀: mean of life shipment is 7500 hours
the hypothesis are outlined as follows
H₀:
7500
H₁:
7500
where, n = 64, x = 7250,
1000 hours
Test statistics:
![Z = \frac{7250-7500}{\frac{1000}{\sqrt{64}} } \\\\Z = -2](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B7250-7500%7D%7B%5Cfrac%7B1000%7D%7B%5Csqrt%7B64%7D%7D%20%7D%20%5C%5C%5C%5CZ%20%3D%20-2)
Our conclusion from the above result is that there is sufficient evidence to say that the mean life is different from 7500 hours
2). 95% confidence Interval for the population mean
is
![[7250-1.96\times \frac{1000}{\sqrt{64}},7250+1.96\times \frac{1000}{\sqrt{64}} ]\\\\(7005,7495)](https://tex.z-dn.net/?f=%5B7250-1.96%5Ctimes%20%5Cfrac%7B1000%7D%7B%5Csqrt%7B64%7D%7D%2C7250%2B1.96%5Ctimes%20%5Cfrac%7B1000%7D%7B%5Csqrt%7B64%7D%7D%20%5D%5C%5C%5C%5C%287005%2C7495%29)
3).
the p-value is given by
![p-value =2P(Z\leq -|z|)\\\\p-value =2P(Z\leq -|2|)\\\\p-value = 0.0455](https://tex.z-dn.net/?f=p-value%20%3D2P%28Z%5Cleq%20-%7Cz%7C%29%5C%5C%5C%5Cp-value%20%3D2P%28Z%5Cleq%20-%7C2%7C%29%5C%5C%5C%5Cp-value%20%3D%200.0455)
On the lutheran church ots mathew mark luke and jhon and in catholic is st. Mary but not 100% sure
Answer:
1. Remains compliant with industry standards. Ultimately, buyers need to know that suppliers aren't going to add extra risk to their organisations' risk profiles.
2. Keeps information up-to-date.
3. Strives to continually improve.
4. Demonstrates innovation.
5. Has a proactive attitude.
Explanation: