this Q for OR

A company is involved in the production of two items (X and Y). The resources need to produce X and Y are twofold, namely machine time for automatic processing and craftsman time for hand finishing. The table below gives the number of minutes required for each item: The company has 40 hours of machine time available in the next working week but only 36 hours of craftsman time. Machine time is costed at $30 per hour worked and craftsman time is costed at $10 per hour worked. Both machine and craftsman idle times incur no costs. The revenue received for each item produced (all production is sold) is $30 for X and $24 for Y. The company has a specific contract to produce 10 items of X per week for a particular customer. c. Formulate the problem of deciding how much to produce per week as a linear program. d. Use the graphical solution technique to find the optimal solution to the model. e. Use the simplex algorithm to find the optimal solution to the model. A company is involved in the production of two items (X and Y). The resources need to produce X and Y are twofold, namely machine time for automatic processing and craftsman time for hand finishing. The table below gives the number of minutes required for each item: The company has 40 hours of machine time available in the next working week but only 36 hours of craftsman time. Machine time is costed at $30 per hour worked and craftsman time is costed at $10 per hour worked. Both machine and craftsman idle times incur no costs. The revenue received for each item produced (all production is sold) is $30 for X and $24 for Y. The company has a specific contract to produce 10 items of X per week for a particular customer. c. Formulate the problem of deciding how much to produce per week as a linear program. d. Use the graphical solution technique to find the optimal solution to the model. e. Use the simplex algorithm to find the optimal solution to the model