A Company Has the Following Inputs and Cost Structure They Must Also Use the Following Minimum Quantities

Essay

A company has the following inputs and cost structure.
$$\begin{array} { l l l l } \text { Product } & \mathrm { X } & \mathrm { Y } & \mathrm { Z } \\\text { Ingredient A } & 4 & 2 & 8 \\\text { Ingredient B } & 2 & 3 & 3 \\\text { Ingredient C } & 4 & 5 & 3 \\\text { Ingredient D } & 7 & 5 & 7 \\\text { Cost per unit } & 0.25 & 0.21 & 0.69\end{array}$$ They must also use the following minimum quantities.
A 100, B 120, C 140, D 160
The is also a maximum of Z of 200 units.
c) Calculate how many of each product (X, Y, Z) should be produced.
d) How much is the minimized total cost?