Question Tag: Graphing

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QTB – May 2017 – L1 – SB – Q5a – Operations Research

Graph linear inequalities and identify the coordinates of the corner points of the shaded area.

Given the following inequalities:

i. Graph them on the same graph sheet using the following scales: On x and y-axes, let 1 cm represent 250 units. (6½ Marks)

ii.

  • Shade the area in which these inequalities hold.
  • Determine the coordinates of the corner points of the above shaded area. (3½ Marks)

 

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QTB – May 2016 – L1 – SB – Q1b – Mathematics

Draw cost graph, estimate production units, deduce fixed costs and cost equation for an aluminum manufacturing company.

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

  • The daily fixed costs of the company from the graph above (1 mark)
  • From the above, obtain the equation representing the company’s activity (3 marks)

iv. Comment on the results obtained in (iii) above.
(1 mark)

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QTB – May 2017 – L1 – SB – Q5a – Operations Research

Graph linear inequalities and identify the coordinates of the corner points of the shaded area.

Given the following inequalities:

i. Graph them on the same graph sheet using the following scales: On x and y-axes, let 1 cm represent 250 units. (6½ Marks)

ii.

  • Shade the area in which these inequalities hold.
  • Determine the coordinates of the corner points of the above shaded area. (3½ Marks)

 

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QTB – May 2016 – L1 – SB – Q1b – Mathematics

Draw cost graph, estimate production units, deduce fixed costs and cost equation for an aluminum manufacturing company.

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

  • The daily fixed costs of the company from the graph above (1 mark)
  • From the above, obtain the equation representing the company’s activity (3 marks)

iv. Comment on the results obtained in (iii) above.
(1 mark)

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