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Elan Coil [88]
2 years ago
9

Three individuals, Mary, Jack and Helen, make up the total demand for donuts per month in a particular market.

Business
1 answer:
Paraphin [41]2 years ago
5 0

The market demand curve would be 1000 - 0.125Q.

<h3>How to calculate the demand curve?</h3>

It should be noted that the market demand curve will be the sum of the individual demand curve.

The market demand curve will be calculated thus. Mary’s demand curve is 5P = 5000 – 1.25QM. Here, p = 1000 - 0.25QM

Jack’s demand curve for donuts is given by P = 1000 – 0.5QJ. Helen’s demand curve is given by QH = 2000 – 2P. This will be P = 1000 - 0.5QH.

The slope will be:

= 0.5 × 0.25

= 0.15

The demand function of Jack and Helen are the same. The demand curve will be 1000 - 0.125Q.

Learn more about demand on:

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Jamal is a nurse and earns $48,000 per year. He lives in California and pays about 6 percent of his income in state income taxes
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The Good Chocolate Company makes a variety of chocolate candies, including a 12-ounce chocolate bar (340 grams) and a box of six
joja [24]

Answer:

A) ≈ 3.509 grams

B) The process is not capable because the lowest Cpk which is 1.89 ≈ 1.9 is far from the ideal 1.33 capability index number ( NO )

c) 1.051 ounces

Explanation:

A) The largest standard deviation ( in grams)

This can be calculated applying the capability index formula and according to the capability index formula the value at which a process is capable is at  : 1.33

hence the largest standard deviation =  upper limit - lower limit / 6 * 1.33

 ( 354 - 326 ) / 7.98 = 3.5087 ≈ 3.509 grams

B) we first calculate the process mean and std of the box

standard deviation = \sqrt{variance }

std of the six-bar box = \sqrt{6*0.86^2}  = 2.106

process mean = 6 * ( 1.03 * 28.33) = 175.079

the mean is not centered between the upper specification and the lower specification hence we will apply the formulae used in calculating the capability index for an uncentered process

Cpk = (upper value - process mean) / (3 * std of box),

         = (187 - 175.079) / ( 3 * 2.106) = 11.921 / 6.318 = 1.89

Cpk =  (process mean -  lower value ) / (3*std of box)

       = ( 175.079 - 153 ) / (3 * 2.106) = 22.079 / 6.318 = 3.49

The process is not capable because the lowest Cpk which is 1.89 ≈ 1.9 is far from the ideal 1.33 capability index number ( N0 )

c ) lowest setting

calculate the value of the mean using capability index of 1.33

Cpk = (upper value - mean ) / 3 * std

mean = 187 - 1.33 * 3 * 2.106

           = 187 - 8.40 = 178.60 grams

Cpk = ( process mean - lower value ) / 3 * std

 mean = 1.33 * 3 * 2.106 + 153

            = 8.40 + 153 = 161.40 grams

the lowest setting in ounces

= 178.60 / ( 6 bar * 28 .33)

= 178.60 / 169.98 = 1.051 ounces

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This is the answer I hope it helps you

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