Question

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Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

• Cost of Production of syringe varies inversely proportional to the number produced.

• To Produce 10,000 syringes, the Cost per unit is $ 2 per unit.

⠀

Let the Required Inverse Equation be :

$:\implies\sf Cost\:\propto\:\dfrac{1}{Production}\\\\\\:\implies\sf Cost \: = \:\dfrac{Constant}{Production}\\\\\\:\implies\sf C \: = \: \dfrac{k}{P}\\\\\\:\implies\sf \ \:2 \:per\:unit\: = \:\dfrac{k}{10000 \:units}\\\\\\:\implies\sf \ \:2 \:per\:unit \times 10000 \:units \: = \:k\\\\\\:\implies\sf k \: = \:\ \:20000$

$\rule{180}{1.5}$

• Cost per unit to produce 25,000 syringes.

$:\implies\sf Cost\:\propto\:\dfrac{1}{Production}\\\\\\:\implies\sf Cost\: = \:\dfrac{Constant}{Production}\\\\\\:\implies\sf C \: = \: \dfrac{k}{P}\\\\\\:\implies\sf C\: = \:\dfrac{\ \:20000}{25000\:units}\\\\\\:\implies\sf C\: = \:\dfrac{\ \:20}{25\:units}\\\\\\:\implies\underline{\boxed{\sf Cost\:=\:\ \:0.80\:per\:unit}}$

⠀

$\therefore\:\underline{\textsf{Cost of production of syringes is \textbf{\ 0.80 per unit}}}.$