Question #79061

You are in charge of manufacturing two products, namely Moira and Tassel daily. You need resources from A and B for producing both these products.

It requires 30 units of resource A and 5 units of resource B to produce one product of Moira whereas 20 units of resource A and 10 units of resource B are needed to produce one product of Tassel. There are in total 300 units of resource A and 110 units of resource B available.

Each product of Moira gives a profit of RM 6 whereas each product Tassel gives a profit of RM 8.

You would like to know how many of these products need to be produced daily in order to maximize your profit.

i) Write the required Maximum profit equation to maximize the daily production.

ii) Write the necessary inequalities that this maximum equation is subjected to.

iii) Using a graphical method find the maximum number of these products that are needed to be produced daily in order to get maximum profit.

It requires 30 units of resource A and 5 units of resource B to produce one product of Moira whereas 20 units of resource A and 10 units of resource B are needed to produce one product of Tassel. There are in total 300 units of resource A and 110 units of resource B available.

Each product of Moira gives a profit of RM 6 whereas each product Tassel gives a profit of RM 8.

You would like to know how many of these products need to be produced daily in order to maximize your profit.

i) Write the required Maximum profit equation to maximize the daily production.

ii) Write the necessary inequalities that this maximum equation is subjected to.

iii) Using a graphical method find the maximum number of these products that are needed to be produced daily in order to get maximum profit.

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