The cost of sugar in a month under the heads of raw Materials, labor, direct production, and others were 12, 20, 35 and 23 units respectively. What...

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The cost of sugar in a month under the heads of raw Materials, labor, direct production, and others were 12, 20, 35 and 23 units respectively. What is the difference between the central angles for the largest and smallest components of the cost of sugar?

Accepted Answer

Option d: 92^circ. Solution: To find the difference between the central angles for the largest and smallest components of the cost of sugar, we follow these steps:n1. Find the total sum of all components:ntext{Total} = 12 + 20 + 35 + 23 = 90text{ units}n2. The total central angle of a pie chart is 360^circ. The angle corresponding to each unit is:ntext{Angle per unit} = 360^circ/90 = 4^circn3. Identify the largest and smallest components:n- Largest component: Direct production = 35 unitsn- Smallest component: Raw Materials = 12 unitsn4. Calculate the difference between them:ntext{Difference in units} = 35 - 12 = 23text{ units}n5. Calculate the difference in their central angles:ntext{Difference in central angles} = 23 x 4^circ = 92^circnHence, Option D is the correct answer.

The cost of sugar in a month under the heads of raw Materials, labor, direct production, and others were $\displaystyle 12, 20, 35$ and $\displaystyle 23$ units respectively. What is the difference between the central angles for the largest and smallest components of the cost of sugar?

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