1. Suppose we know that if a store wishes to stock and sell the quantity x thousands of a laser gaming mice product, the DEMAND PRICE for which it can sell them out is given by 50 p(x) = dollars per mouse. 0.01r +1 (i) Just look at the function! Does this price INCREASE or DECREASE, as x gets larger? And does that make sense? (ii) Find the function R(x) which gives the revenue obtained by selling out the x mice. And what are the units of R (x)? (iii) Next, find the function R´ (x), the marginal revenue function. (iv) Last month, the store stocked and sold 2000 of the mice. So what was the Revenue? HINT: What was x? (iv) Now suppose the store plans to restock and sell 2001 mice next month. Assuming the demand function remains the same, find the additional revenue obtained by stocking that one more mouse. HINT: Again, what is the x-value now?

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Q: (1) The revenue for a product is R(x) = -0.004x² + 21x – 6200 and the cost is C(x) = 0.02x + 38, for…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Suppose that the marginal propensity to consume is   dC dy = 0.4 − e−2y     (in billions of…

A: Answer:  C(y)=0.4y+12e-2y+4.9

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A: consumption= $3 billion disposable income= $0 ds/dy= 0.8+e^-(1.5y)

Q: maximum profit occurs when x =

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Q: If consumption is $4.9 billion when income is $1 billion and if the marginal propensity to consume…

A: Given : Consumption(C)=  $4.9 billion Income(Y)= $1 billion

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A: Let's find.

Q: If consumption is $3 billion when disposable income is $0 and if the marginal propensity to consume…

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A: Given C(0) = 9dCdY=11+Y+0.3

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Q: B In Problems 21–28, find the indicated function if cost and revenue are given by C(x) = 145 + 1.1x…

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Q: (3) The demand function for a tablet is given by the model p= 200-16x where p is measured tablet and…

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A: p(q)=-0.4q+1754C(q)=62.97q+3515R(q)=1128000R(q)= q. p(q)R(q)=q (-0.4q+1754 )R(q)=-0.4q2+1754q

Q: Suppose that the marginal propensity to consume is dc - 0.9 - e-2y (in billions of dollars) and that…

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Q: Suppose the cost function of a company for producing a particular commodity is C(x) = 0.000003x³ –…

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Q: 29. Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is…

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Q: 4. Suppose the demand function for a product is given by p = D(x) = 700 – 2x² and the supply…

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Q: Suppose that the marginal propensity to consume is   dC/dy = 0.6 − e−2y     (in billions of…

A: Marginal propensity to consume is: dCdy=0.6-e-2y Also: C(0)=5.5

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A: Profit=P(x)= revenue - cost

Q: 1. For the profit function P(x) = –x³ + (3x+2)², where x represents an amount invested in thousands…

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Q: If consumption is $4.7 billion when income is $1 billion and if the marginal propensity to consume…

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Q: 5. If consumption is $3 billion when disposable income is $O, and if the marginal propensity to save…

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Q: We found that the marketing research department for the company that manufactures and sells memory…

A: NOTE: Refresh your page if you can't see any equations. . demand function is  and the revenue…

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A: Given: I(x)=aRx-b R=0.9

Q: In Problems 21–28, find the indicated function if cost and revenue are given by C(x) = = 145 + 1.1x…

A:

Q: 2) The demand function for a tablet is given by the model p= 200 – 16.22 where p is measured in…

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A:

Q: (1) The revenue for a product is R(x) = −0.004x2 2 + 21x − 6200 and the cost is C(x) = 0.02x + 38,…

A: The solution is given below

Q: 1. We found that the marketing research department for the company that manufactures and sells…

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Q: 3. The inverse demand function for a commodity is given by p = 41 -0.33q and the cost of producing…

A: Given the inverse demand function is p=41-0.33q Let revenue function is Rq. So, Rq=pqRq=41q-0.33q2…

Q: We found that the marketing research department for the company that manufactures and sells memory…

A: You need to maximise the revenue function. That is the differentiation of revenue function set to be…

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Q: 1. A certain manufacturer produces door handles and has a profit function P(x) = 5x – 0.05x? – 450…

A: Given: A profit function, P(x) = 5x - 0.05x2 – 450 a) If 150 handles are sold, P(150) = 5(150) -…