MathMaster logo

MathMaster

  1. Home
  2. general
  3. you are the newly appointed transport manager for super trucking pty ltd which operates as a logistics service provider fo
Question

You are the newly appointed transport manager for Super Trucking (Pty) Ltd, which operates as a logistics service provider for various industries throughout southern Africa. One of these vehicles is a 4x2 Rigid Truck and drawbar trailer that covers 48,000 km per year. Use the assumptions below to answer the following questions (show all calculations): Overheads R 176,200 Cost of capital (% of purchase price per annum) 11.25% Annual License Fees—Truck R 16,100 Driver Monthly cost R 18,700 Assistant Monthly cost R 10,500 Purchase price: - Truck R 1,130,000 Depreciation: straight line method Truck residual value 25% Truck economic life (years) 5 Purchase price: Trailer R 370,000 Tyre usage and cost (c/km) 127 Trailer residual value 0% Trailer economic life (years) 10 Annual License Fees—Trailer R 7,700 Fuel consumption (liters/100km) 22 Fuel price (c/liter) 2053 Insurance (% of cost price) 7.5% Maintenance cost (c/km) 105 Distance travelled per year (km) 48000 Truck (tyres) 6 Trailer (tyres) 8 New tyre price (each) R 13,400 Lubricants (% of fuel cost) 2.5% Working weeks 50 Working days 5 days / week Profit margin 25% VAT 15% Q1. Calculate the annual total vehicle costs (TVC)

153

likes
766 views

Answer to a math question You are the newly appointed transport manager for Super Trucking (Pty) Ltd, which operates as a logistics service provider for various industries throughout southern Africa. One of these vehicles is a 4x2 Rigid Truck and drawbar trailer that covers 48,000 km per year. Use the assumptions below to answer the following questions (show all calculations): Overheads R 176,200 Cost of capital (% of purchase price per annum) 11.25% Annual License Fees—Truck R 16,100 Driver Monthly cost R 18,700 Assistant Monthly cost R 10,500 Purchase price: - Truck R 1,130,000 Depreciation: straight line method Truck residual value 25% Truck economic life (years) 5 Purchase price: Trailer R 370,000 Tyre usage and cost (c/km) 127 Trailer residual value 0% Trailer economic life (years) 10 Annual License Fees—Trailer R 7,700 Fuel consumption (liters/100km) 22 Fuel price (c/liter) 2053 Insurance (% of cost price) 7.5% Maintenance cost (c/km) 105 Distance travelled per year (km) 48000 Truck (tyres) 6 Trailer (tyres) 8 New tyre price (each) R 13,400 Lubricants (% of fuel cost) 2.5% Working weeks 50 Working days 5 days / week Profit margin 25% VAT 15% Q1. Calculate the annual total vehicle costs (TVC)

Expert avatar
Neal
4.5
105 Answers
To calculate the annual total vehicle costs (TVC), we need to add up all the costs associated with the truck and trailer. Here are the calculations: Truck costs: Depreciation: The purchase price of the truck is R 1,130,000, and the residual value is 25%. Therefore, the depreciation per year is (1,130,000 * (1 - 0.25)) / 5 = R 678,000. Interest: The cost of capital is 11.25% of the purchase price per annum. Therefore, the interest per year is 0.1125 * 1,130,000 = R 127,125. License fees: The annual license fees for the truck are R 16,100. Driver cost: The monthly driver cost is R 18,700, which translates to an annual cost of 18,700 * 12 = R 224,400. Assistant cost: The monthly assistant cost is R 10,500, which translates to an annual cost of 10,500 * 12 = R 126,000. Tyre cost: The cost of tyres per km is 127 cents. The truck travels 48,000 km per year, and it has 6 tyres. Therefore, the total tyre cost per year is 127 * 48,000 * 6 = R 36,864. Maintenance cost: The maintenance cost per km is 105 cents. The truck travels 48,000 km per year. Therefore, the total maintenance cost per year is 105 * 48,000 = R 5,040. The total cost of the truck per year is: 678,000 + 127,125 + 16,100 + 224,400 + 126,000 + 36,864 + 5,040 = R 1,213,529 Trailer costs: Depreciation: The purchase price of the trailer is R 370,000, and the residual value is 0%. Therefore, the depreciation per year is (370,000 * (1 - 0)) / 10 = R 37,000. License fees: The annual license fees for the trailer are R 7,700. Tyre cost: The cost of tyres per km is 127 cents. The trailer travels 48,000 km per year, and it has 8 tyres. Therefore, the total tyre cost per year is 127 * 48,000 * 8 = R 48,768. Maintenance cost: The maintenance cost per km is 105 cents. The trailer travels 48,000 km per year. Therefore, the total maintenance cost per year is 105 * 48,000 = R 5,040. The total cost of the trailer per year is: 37,000 + 7,700 + 48,768 + 5,040 = R 98,508 Therefore, the annual total vehicle costs (TVC) is: 1,213,529 + 98,508 = R 1,312,037 Hence, the annual total vehicle costs (TVC) is R 1,312,037

Frequently asked questions (FAQs)
What is the mean, mode, median, range, and average of the data set: 5, 10, 15, 15, 20, 25, 30?
+
Question: What is the limit as x approaches infinity of (4x^3 - 2x^2 + 5) / (3x^3 + 7x^2 - 2x + 1)?
+
Question: How many ways can 4 students be selected from a group of 10 to form a committee?
+
New questions in Mathematics
Given the vectors: a = (2m – 3n, 4n – m) and b = (2, -3), find the values of m and n that make: a = 5 b.
Use the elimination to find the solution to each linear system. X+y=43 2x-y=20
In a store there are packets of chocolate, strawberry, tutti-frutti, lemon, grape and banana sweets. If a person needs to choose 4 flavors of candy from those available, how many ways can they make that choice?
Suppose 56% of politicians are lawyers if a random sample of size 564 is selected, what is the probability that the proportion of politicians who are lawyers will differ from the total politicians proportions buy more than 4% round your answer to four decimal places
Margin of error E=0.30 populations standard deviation =2.5. Population means with 95% confidence. What I the required sample size (round up to the whole number)
How many different ways can a psychology student select 5 subjects from a pool of 20 subjects and assign each one to a different experiment?
5.- From the probabilities: 𝐏(𝐁) = 𝟑𝟎% 𝐏(𝐀 ∩ 𝐁) = 𝟐𝟎% 𝐏(𝐀 ̅) = 𝟕𝟎% You are asked to calculate: 𝐏(𝐀 ∪ 𝐁)
You mix a powder drug with a 4.5ml of liquid to get a reconstituted solution with a concentration of 250mg/ml. The prescribers order is for 500 mg . You will give what ml of the reconstituted solution
. What will be the osmotic pressure of a solution that was prepared at 91°F by dissolving 534 grams of aluminum hydroxide in enough water to generate 2.784 ml of solution.
In a order to compare the means of two populations, independent random samples of 410 observations are selected from each population, with Sample 1 the results found in the table to the right. Complete parts a through e below. X1 = 5,319 S1= 143 a. Use a 95% confidence interval to estimate the difference between the population means (H - H2) Interpret the contidence interval. The contidence interval IS (Round to one decimal place as needed.) Sample 2 X2 = 5,285 S2 = 198 Aa. Use a 95% confidence interval to estimate the difference between the population means (A1 - M2) Interpret the contidence interval. The contidence interval Is (Round to one decimal place as needed.) b. Test the null hypothesis Ho versus alternative hypothesis Ha (H What is the test statistic? H2) + Give the significance level of the test, and interpret the result. Use a = 0.05. Z=
With the aim of identifying the presence of the feline leukemia virus (FeLV), blood samples were collected from cats sent to a private veterinary clinic in the city of Belo Horizonte. Among the animals treated, it was possible to observe that age followed a Normal distribution with a mean of 4.44 years and a standard deviation of 1.09 years. Considering this information, determine the value of the third quartile of the ages of the animals treated at this veterinary clinic. ATTENTION: Provide the answer to exactly FOUR decimal places
Engineers want to design seats in commercial aircraft so that they are wide enough to fit ​95% of all males.​ (Accommodating 100% of males would require very wide seats that would be much too​ expensive.) Men have hip breadths that are normally distributed with a mean of 14.4 in. and a standard deviation of 1.2 in. Find P95. That​ is, find the hip breadth for men that separates the smallest ​95% from the largest 5​%.
A function is considered exponential when it has a base with positive values greater than zero and different from one, where the exponent is an unknown. An important characteristic of exponential functions is that they show rapid growth or decay as an independent variable increases or decreases. Given the function 25^(x+3)=125, it is calculated that x has the value of
9 x² + 2x + 1 = 0
How to factorise 5y^2 -7y -52
The perimeter of a rectangular rug is 42 feet. The width is 9 feet. What is the length?
Carmen's age was twice as old as Luis was when Carmen was Luis's age. When Luis is Carmen's age, their ages will add up to 112.
64-6x^2>0
23,456 + 3,451
The car with an irresponsible driver starts to brake when it goes through a red light. When passing the traffic light, he does so at a speed of 115 kph in the right lane. Further ahead, 70 meters from the traffic light, a child is crossing the street and falls. If the effect of the car's brakes is equivalent to a deceleration of magnitude 5.7m/s². Is the child hit by the car or not? How far from the traffic light does the car stop?

You might be interested in