Demand for Container X$-100$ is $100$ per week. There are $52$ weeks per year. The lead time to get new containers is $3$ weeks. The interest rate $($holding cost rate$)$ is $40\%.$ The cost per order is $$94$ and the cost per container is $$29.$ One decimal point for all calculations.

What is the optimal ordering quantity?

a$.$

$324\mathrm{.}6$

b$.$

$290\mathrm{.}3$

c$.$

$2600$

d$.$

$410\mathrm{.}6$

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Pregunta $2$

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What is the annual ordering cost if the optimal ordering quantity is used?

a$.$

$1505\mathrm{.}9$

b$.$

$1273$

c$.$

$1683\mathrm{.}8$

d$.$

$1190\mathrm{.}5$

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Pregunta $3$

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What is the total annual cost if the optimal ordering quantity is used?

a$.$

$154167\mathrm{.}6$

b$.$

$156493\mathrm{.}7$

c$.$

$152744$

d$.$

$152483\mathrm{.}8$

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Pregunta $4$

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The supplier offers a $$1$ per unit discount if the order is for $6$ months worth of the demand $(2,600$ units$).$ What is the annual ordering cost in this case?

a$.$

$94\mathrm{.}0$

b$.$

$2600$

c$.$

$423\mathrm{.}0$

d$.$

$188\mathrm{.}0$

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Pregunta $5$

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What is the total annual cost with the discount?

a$.$

$171788\mathrm{.}0$

b$.$

$174908$

c$.$

$166068\mathrm{.}0$

d$.$

$160348\mathrm{.}0$