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Dmitry [639]
3 years ago
13

Given the total fixed-cost curve in gray and the total variable-cost curve in color, draw the total cost curve. Three points on

the total variable-cost curve have been identified for reference. Use them to plot three points on the total cost curve with the point tool and then connect those points with the curved-line tool.
Business
1 answer:
saveliy_v [14]3 years ago
4 0

Answer:

TFC : Horizontal Line parallel to X axis

TVC : Upward sloping inverse S shape curve from origin

TC : Upward sloping increase S shape curve, with Y axis intercept = TFC

Explanation:

Total Fixed cost [TFC] is the total production expenditure, done on fixed factors of production (Eg - on machine, building etc). It is incurred even at zero level of output, stays same (constant) irrespective of output level. So, it's curve is a  constant horizontal line.

Total Variable Cost [TVC] is the total production expenditure, done on variable factors of production (Eg - on raw material). It is zero at zero level of output,  directly related to level of output thereafter. It first increases at a decreasing rate, then increases at an increasing rate. So, it's curve is inverse S upward sloping curve from origin.

Total Cost [TC] is the total cost incurred on all factors of production (fixed & variable). It is sum of TVC & TFC. As TFC is constant at all levels of output, TC changes due to change in TVC. So, TC is also directly related to output level, first increases at increasing rate & then at decreasing rate. Hence, it is also a inverse S upward sloping curve. But, it also includes constant TFC. So, the curve has intercept on Y axis = TFC (it doesn't start from origin).

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Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The l
Serjik [45]

Answer:

Objective function:

Maximize Z: 30P1 + 25P2 + 28P3

Subject to:   2.00P1 + 1.50P2 + 3.00P3 ≤ 450 (Department A constraint)

                    2.50P1  + 2.00P2 + P3       ≤ 350 (Department B constraint)

                    0.25P1  + 0.25P2 + 0.25P3 ≤ 50  (Department C constraint)

                           P1, P2, P3                       ≥  0 (Non-negativity)

Explanation:

The objective function is formulated from the contribution margin of the three products. For instance, the contribution of Product 1 is $30, the contribution of Product 2 is $25 and the contribution of Product 3 is $28. Thus, the objective function will be 30P1 + 25P2 + 28P3.

The constraints were obtained from the departmental labour hours requirements for each product. For instance, Product 1 requires 2 hours in department A, Product 2 requires 1.50 hours in department A and Product 3 requires 3 hours in Department A. Thus, the constraint will be 2.00P1 + 1.50P2 + 3.00P3.

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Answer:

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3 years ago
You see a used sporty car that you would like to own. It costs $9,000 and you would pay 7.2% interest, compounded monthly and fi
bogdanovich [222]

Answer:

$24,705.8

Explanation:

To find the answer, we will use the present value of an annuity formula:

PV = A (1 - (1 + I)^-n / i

Where:

  • PV = Present value of the investment (in thise case, the cost of the car)
  • A = Value of the annuity (the monthly payments)
  • i = Interest Rate
  • n = number of compounding periods

The monthly payments are an annuity: they are periodic, fall under the same interest rate, and have the same value, therefore, if we find the value of the annuity, we will find the value of the first monthly payment at the same time (both things are the same):

Plugging the amounts into the formula we obtain:

9,000 = A ( 1 - (1 + 0.072)^-36 / 0.072

9,000 = A (12.75)

9,000 / 12.75 = A

705.88 = A

Now, to find the full value of the loan, we multiply the annuity value for 36, because that value will be paid 36 times until the loan is completed:

Full value of the loan = 705.88 x 36

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Finally, to find the loan balance after the first payment, we take the full value of the loan, and substract the value of the annuity from it:

Loan balance after first payment = 25,411.68 - 705.88

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