PROBLEM $2$

Problem Statement

Develop a well$-$documented function called shipping cost that calculates the cost of shipping a package based on the package weight and type of service according to the price schedule listed in Table $1.$ Your function should be saved in a file called shippingcost. $m.$

Program Requirements

The function should have two input arguments, in this order: the weight of the package and a numerical value indicating the desired shipping service: $1=$ ground, $2=$ second day, and $3=$ overnight.

The function should return two values, in this order: a number indicating success $(1)$ or failure $(0)$ and the cost of shipping the package. For example, when computing the cost of shipping a $1$ lb package by ground service, the return values would be $1$ and $5\mathrm{.}5.$ If the input values are invalid, or the type of service is not available for a package with the given weight, the function should return $0$ and $0.$

If a weight larger than $70lb$ is entered for ground service, the function should return $0$ and $0.$

If a weight larger than $40lb$ is entered for $2^{nd}$ day service, the function should return $0$ and $0.$

If a weight larger than $10lb$ is entered for overnight service, the function should return $0$ and $0.$

Hints: Consider using the cei $1$ function in your cost calculation to round$-$up the weight.

Table $1.$ Shipping Cost Schedule

$\backslash$table$[[\backslash$table$[[$Shipping$],[$Service$]],$Package Weight$],[0-2lb,2-10lb,$Greater than $10lb$