Shylls, Inc. determines that its marginal revenue per day is given by R'|t|=100et and that R(0)=0,...
Shylls, Inc. determines that its marginal revenue per day is given by R'|t|=100et and that R(0)=0, where R(t) is the total accumulated revenue, in dollars, on day t. The company's marginal cost, per day, is given by C'|t|=100-0.2t with C(0)=0, where C(t) is the total accumulated cost, in dollars, on day t. What is the average daily profit for the first 10 days (t=0 to t=10)?
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Shylls, Inc. determines that its marginal revenue per day is
given by R'|t|=100et and that R(0)=0,...
A company determines that its marginal revenue per day is given by R'(t), where R(t) is...
A company determines that its marginal revenue per day is given by R'(t), where R(t) is the total accumulated revenue, in dollars, on the tth day. The company's marginal cost per day is given by C' (t), where C(t) is the total accumulated cost, in dollars, on the th day. R' (t) = 140 e'. R(O)=0; C' (t) = 140 -0.75, C(O) = 0 a) Find the total profit P(T) from t=0 to t= 10 (the first 10 days). P(T)...
41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from...
41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from the production of x units of computer chips per day, where each unit consists of 100 chips. (a) Represent the following statement by equations involving R or R': When 1200 chips are produced per day, the rev- enue is $22,000 and the marginal revenue is $.75 per chip. (b) If the marginal cost of producing 1200 chips is $1.5 per chip, what is the...
41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from...
41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from the production of x units of computer chips per day, where each unit consists of 100 chips. =X (a) Represent the following statement by equations involving R or R': When 1200 chips are produced per day, the rev- enue is $22,000 and the marginal revenue is $.75 per chip. (b) If the marginal cost of producing 1200 chips is $1.5 per chip, what is...
A clothing company determines that its marginal cost, in dollars per dress, is given by the...
A clothing company determines that its marginal cost, in dollars per dress, is given by the function below. The total cost of producing the first 200 dresses is $6800. Find the cost of producing the 201st through the 320th dress. 3 C'(x) = -25% +46, for xs 370 The total cost is $ (Round to the nearest dollar as needed.)
6. Chroelle Integration Industries (CII) tracks its daily revenue, in dollars, with the function R(t). This measures the amount of revenue earned by the company on day t. (a) What is an appropriate i...
6. Chroelle Integration Industries (CII) tracks its daily revenue, in dollars, with the function R(t). This measures the amount of revenue earned by the company on day t. (a) What is an appropriate interpretation for the expression /R(t) dt? (b) Chris ran CII for the first thirty days of the fiscal year, while Noelle ran CI for the next thirty days. Write down an inequality of definite integrals that suggests Noelle had a more successful term running CII than Chris...
Marginal cost 14 Price = Marginal revenue Price or Cost(dollars per bushel) Quantity (bushels of fish...
Marginal cost 14 Price = Marginal revenue Price or Cost(dollars per bushel) Quantity (bushels of fish per day) Number of Bushels per Day Price Total Revenue Total Cost Total Profit Marginal Marginal Revenue Cost $13 $10 $-10 15 $13 31 44 61 If the price of catfish changed from $13 to $14 per bushel, determine the Instructions: in parts a and c, enter your responses as a whole number. In part b.round your response to two decimal places. If you...
Suppose a company's revenue function is given by R(q) = - q° + 200q and its...
Suppose a company's revenue function is given by R(q) = - q° + 200q and its cost function is given by C(q) = 160 + 11q, where q is hundreds of units sold/produced, while R(q) and C(q) are in total dollars of revenue and cost, respectively. A) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your answer.) MP(q) B) How many items (in hundreds) need to be sold to maximize profits?...
3. Aflu epidemic hits a college community, beginning with 10 cases on day t=0. The rate...
3. Aflu epidemic hits a college community, beginning with 10 cases on day t=0. The rate of growth of the epidemic (i.e. number of new cases per day) is given by the following function: r(0) = 30er where "p" is the number of days since the epidemic began. a. Find the average number of flu cases (Av) in the first 12 days (t=12). b. Find a formula for the total number of cases of flu, N(t), in the first "t"...
Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs...
Pierce Manufacturing determines that the daily revenue, in
dollars, from the sale of x lawn chairs is R(x)equals0.007 x cubed
plus 0.02 x squared plus 0.5 x. Currently, Pierce sells 50 lawn
chairs daily.
a) What is the current daily revenue?
b) How much would revenue increase if 53 lawn chairs were
sold each day?
c) What is the marginal revenue when 50 lawn chairs are sold
daily?
d) Use the answer from part (c) to estimate R(51),
R(52), and...
(4) (You must show all your work). Answer the following (independent) questions. (a) The approximate temperature T of the skin in terms of the temperature T, of the environment is given by T = 32.8 +...
(4) (You must show all your work). Answer the following (independent) questions. (a) The approximate temperature T of the skin in terms of the temperature T, of the environment is given by T = 32.8 + 0.27(T,-20) where T and T, are in degree Celsius. Find the rate of change of T with respect to T (b) The value V of a certain machine after t years have elapsed is given by V = 120, 00-15, 50t where 0 t=47...
A company determines that its marginal revenue per day is given by R'(t), where R(t) is the total accumulated revenue, in dollars, on the tth day. The company's marginal cost per day is given by C' (t), where C(t) is the total accumulated cost, in dollars, on the th day. R' (t) = 140 e'. R(O)=0; C' (t) = 140 -0.75, C(O) = 0 a) Find the total profit P(T) from t=0 to t= 10 (the first 10 days). P(T)...
41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from the production of x units of computer chips per day, where each unit consists of 100 chips. (a) Represent the following statement by equations involving R or R': When 1200 chips are produced per day, the rev- enue is $22,000 and the marginal revenue is $.75 per chip. (b) If the marginal cost of producing 1200 chips is $1.5 per chip, what is the...
41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from the production of x units of computer chips per day, where each unit consists of 100 chips. =X (a) Represent the following statement by equations involving R or R': When 1200 chips are produced per day, the rev- enue is $22,000 and the marginal revenue is $.75 per chip. (b) If the marginal cost of producing 1200 chips is $1.5 per chip, what is...
A clothing company determines that its marginal cost, in dollars per dress, is given by the function below. The total cost of producing the first 200 dresses is $6800. Find the cost of producing the 201st through the 320th dress. 3 C'(x) = -25% +46, for xs 370 The total cost is $ (Round to the nearest dollar as needed.)
6. Chroelle Integration Industries (CII) tracks its daily revenue, in dollars, with the function R(t). This measures the amount of revenue earned by the company on day t. (a) What is an appropriate interpretation for the expression /R(t) dt? (b) Chris ran CII for the first thirty days of the fiscal year, while Noelle ran CI for the next thirty days. Write down an inequality of definite integrals that suggests Noelle had a more successful term running CII than Chris...
Marginal cost 14 Price = Marginal revenue Price or Cost(dollars per bushel) Quantity (bushels of fish per day) Number of Bushels per Day Price Total Revenue Total Cost Total Profit Marginal Marginal Revenue Cost $13 $10 $-10 15 $13 31 44 61 If the price of catfish changed from $13 to $14 per bushel, determine the Instructions: in parts a and c, enter your responses as a whole number. In part b.round your response to two decimal places. If you...
Suppose a company's revenue function is given by R(q) = - q° + 200q and its cost function is given by C(q) = 160 + 11q, where q is hundreds of units sold/produced, while R(q) and C(q) are in total dollars of revenue and cost, respectively. A) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your answer.) MP(q) B) How many items (in hundreds) need to be sold to maximize profits?...
3. Aflu epidemic hits a college community, beginning with 10 cases on day t=0. The rate of growth of the epidemic (i.e. number of new cases per day) is given by the following function: r(0) = 30er where "p" is the number of days since the epidemic began. a. Find the average number of flu cases (Av) in the first 12 days (t=12). b. Find a formula for the total number of cases of flu, N(t), in the first "t"...
Pierce Manufacturing determines that the daily revenue, in
dollars, from the sale of x lawn chairs is R(x)equals0.007 x cubed
plus 0.02 x squared plus 0.5 x. Currently, Pierce sells 50 lawn
chairs daily.
a) What is the current daily revenue?
b) How much would revenue increase if 53 lawn chairs were
sold each day?
c) What is the marginal revenue when 50 lawn chairs are sold
daily?
d) Use the answer from part (c) to estimate R(51),
R(52), and...
(4) (You must show all your work). Answer the following (independent) questions. (a) The approximate temperature T of the skin in terms of the temperature T, of the environment is given by T = 32.8 + 0.27(T,-20) where T and T, are in degree Celsius. Find the rate of change of T with respect to T (b) The value V of a certain machine after t years have elapsed is given by V = 120, 00-15, 50t where 0 t=47...
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