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maw [93]
3 years ago
13

A barrel of oil as measured on the oil market is equal to 1.333 u.s. barrels. a u.s. barrel is equal to 31.5 gal. if oil is on t

he market at $94.00 per barrel, what is the price in dollars per gallon?
Business
1 answer:
RoseWind [281]3 years ago
7 0
You need conversion in this problem to solve it. Since you are already given of all the data, you just need to utilize the data to come up with the answer.  You simply have to divide the equivalent units of a barrel with the U.S. barrels and further divide it with the equivalent gallons of U.S. barrel. You can get $2.24 ($94 / 31.5 / 1.33).<span> </span>
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givi [52]

Answer:

Value of x maximising profit : x = 5

Explanation:

Cost : C(x) = x^3 - 6x^2 + 13x + 15 ; Revenue: R(x) = 28x

Profit : Revenue - Cost = R(x) - C(x)

28x - [x^3 - 6x^2 + 13x + 15]  = 28x - x^3 + 6x^2 - 13x - 15

= - x^3 +  6x^2 + 15x - 15

To find value of 'x' that maximises total profit , we differentiate total profit function with respect to x & find that x value.

dTP/dx = - 3x^2 + 12x + 15 = 0 ► 3x^2 - 12x - 15 = 0

3x^2 + 3x - 15x - 15 = 0  ► 3x (x +1) - 15 (x + 1) = 0 ► (x+1) (3x-15) = 0

x + 1 = 0 ∴ x = -1   [Rejected, production quantity cant be negative] ;

3x - 15 = 0 ∴ 3x = 15 ∴ x = 15/3 = 5

Double derivate : d^2TP/dx^2 = - 6x + 12

d^2TP/dx^2  i.e - 6x + 12  at x = 5 is -6(5) + 12 = - 30+ 12 = -8 which is negative. So profit function is maximum at x = 5

8 0
3 years ago
A nation has a population of 260 million people. Of these, 60 million are retired, in the military, in institutions, or under 16
aleksley [76]

Answer: 6%

Explanation:

Total population= 260 million.

Dependent population= 60 million

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Total Labour Force= employed population + unemployed population

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Therefore total labor force= 200 million

Unemployment rate= unemployed people/ Total Labour Force×100

= 12 million/200 million×100

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Unemployment rate= 6%

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Explanation:

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A supervisor is a professional who takes a leadership position in an organization and manages a crew of personnel. frequently, managers are answerable for coping with a specific department of their enterprise. there are many varieties of managers, however, they usually have obligations like undertaking performance evaluations and making choices.

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