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a. A manufacturing company has purchased a machine generating earnings (₦’000) at time t of 
, where t is in years. The repair and maintenance cost at time t is 
You are required to:
i. Determine when the machine should be replaced, assuming it has a zero salvage value. (4 Marks)
ii. Determine the total net earnings, including the cost of repairs and maintenance within the period of 11 years. (6 Marks)
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Which of the following is NOT TRUE about a histogram?
A. A vertical rectangle is drawn to represent each class of the frequency distribution
B. A histogram is a graph of a grouped frequency distribution
C. The frequency of a class is represented by the height of its rectangle.
D. Histogram and bar charts look similar but they are constructed very differently.
E. The frequency of a class is represented by the area of the bar corresponding to the class.
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Find Related Questions by Tags, levels, etc.
Find Related Questions by Tags, levels, etc.
Find Related Questions by Tags, levels, etc.
Which of the following is NOT TRUE about simultaneous equations?
A. The number of variables must be equal to the number of equations.
B. Where two lines intersect, the values of the variables at that point must satisfy the equations.
C. The simultaneous equations must be satisfied by values of the variables as well as their reciprocals.
D. Their solution involves finding the values of the variables which are true to all the simultaneous equations.
E. The result of adding the equations or subtracting one equation from the other will be satisfied by the values of the variables.
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Find Related Questions by Tags, levels, etc.
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i. A house built in Ikoyi increased in value by 8% in year 1, 25% in year 2, 35% in year 3, 43% in year 4, and 22% in year 5.
Required:
If the house cost N10,000,000 to build, estimate its value at the end of 5 years.
(3 marks)
ii. Calculate the average growth rate over the 5-year period.
(3 marks)
iii. A company’s Demand/Supply situations together with unit transportation costs are as shown below:
| Supply | Factory A | Factory B | Factory C | Demand |
|---|---|---|---|---|
| 400 | 3 | 6 | 7 | 400 |
| 550 | 7 | 5 | 3 | 550 |
| 500 | 5 | 4 | 6 | 500 |
| 700 | 3 | 2 | 4 | 700 |
| Total | 2150 |
Required:
Identify the initial feasible tableau using the Least Cost Method.
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i. The Students Union of a University plans to have an end-of-year party for all its members. The party is scheduled to take place at a major hotel that can accommodate up to 500 persons. The hotel was to charge N800 per person. At this gate fee, the hotel expects to sell 400 tickets. Market research postulates that for every N40 increase or reduction in the ticket price, the demand will fall or increase by 16 tickets.
Required:
If the variable cost per student for the dinner is N210, determine the Marginal Revenue (MR) function.
(6 marks)
ii. JANG PLC produces and sells two products G and H. G and H respectively make contributions of N10 and N15. The company wishes to maximize its profit. 4,150 units and 3,175 units of G and H, respectively, are to be sold. Direct labor hours per unit are 2.5 hours and 1.5 hours for G and H, while machine hours per unit are 45 minutes and 3 hours for G and H, respectively. Total direct labor hours available and total machine hours available are, respectively, 18,000 hours and 10,000 hours.
Required:
Derive the following constraints: the direct labor, machine time, sales demand for G, sales demand for H, and non-negativity constraints. (4marks)
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A barber invests N100,000 for 5 years. At the end of the investment period, he receives a cash transfer of N120,600 as final settlement of the investment.
Required:
Use logarithm (to base 10) to determine the compound interest rate on the investment.
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An aluminum manufacturing company in Lagos incurs a daily total cost of N5,000 for one unit of production. To produce 4 units, the company spends N30,000 as its total cost.
Required:
i. Draw a graph to depict the above information.
(3 marks)
ii. Use your graph above to estimate the number of units to be produced to incur a total cost of N70,000.
(2 marks)
iii. Deduce
iv. Comment on the results obtained in (iii) above.
(1 mark)
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A company plans to introduce a new product into the market. 6,000 units are to be produced in the first year with an annual growth rate of 3.5%. Selling price is to be set at N1,050 per year with an annual growth rate of 6.5%.
Required:
If the production costs are to be pegged at N850 in the first year with an annual growth rate of 5%, calculate the profit earned in year 5.
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A man plans to start saving in June. He plans to set aside N3,500 in June and to increase this amount by N275 in each of the subsequent months. In April of the following year, he would have set aside
A. N 6,025
B. N 6,205
C. N 6,250
D. N 6,502
E. N 6,520
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line with a negative slope passes through the point (2, 4). If its x-intercept
value is thrice the y-intercept value, then the slope-intercept form of the
equation of the line is
A. y = −1/3x + 14/3
B. y = −3x + 14/3
C. y = −1/3x − 14/3
D. y = 3x + 14/3
E. y = −x + 14/3
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Find Related Questions by Tags, levels, etc.
Find Related Questions by Tags, levels, etc.
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what is the marginal revenue when 
, then the point at which the slope is zero is: