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mr Goodwill [35]
2 years ago
14

A monopolist faces the following demand curve, marginal revenue curve, total cost curve and marginal cost curve for its product:

q = 200 - 2p mr = 100 - q tc = 5q mc = 5. what is the total profit earned?
Mathematics
1 answer:
Ad libitum [116K]2 years ago
7 0

The total profit that is earned is 4512.5

<h3>How to solve for the profit that is earned</h3>

100 - q = 0

q = 100

Maximization is where q = 0

MR = mc

100 - q = 5

such that q = 95

Price would be  100 -0.5(95)

= 100 - 47.5

= 52.5

Profit earned would be

= 95*52.5 -5*95

= 4512.5

Read more on profit maximization here: brainly.com/question/13464288

#SPJ4

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<em>The calculated value Z = 2.53 >1.96  at 0.05 level of significance</em>

<em>Null hypothesis H₀ is rejected</em>

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Step-by-step explanation:

<u><em>Step(i)</em></u>:-

<em>Given the random sample size 'n' =50</em>

Given data a new weight-watching company, Weight Reducers International, advertises that those who join will lose an average of 10 pounds after the first two weeks. The standard deviation is 2.8 pounds.

<em>The mean of the Population 'μ' = 10pounds</em>

<em>The standard deviation of the Population 'σ' = 2.8 pounds</em>

<em>Given mean of the sample 'x⁻' = 9</em>

<em>Level of significance ∝ = 0.05</em>

<u><em>Step(ii)</em></u><em>:-</em>

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<em>The test statistic </em>

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<em>The calculated value Z = 2.53</em>

<em>The tabulated value Z = 1.96 at 0.05 level of significance</em>

<u><em>Step(iii)</em></u><em>:-</em>

<em>The calculated value Z = 2.53 >1.96  at 0.05 level of significance</em>

<em>Null hypothesis H₀ is rejected</em>

<em>we accepted alternative hypothesis </em>

<u><em>Conclusion</em></u><em>:-</em>

<em>we conclude that those joining Weight Reducers will lose greater than 10 pounds</em>

<em></em>

<em></em>

<em></em>

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