Question

Please complete this problem in MATLAB.

You need to buy some filing cabinets. You know that Cabinet X costs $10 per unit, requires six square feet of floor space, and holds eight cubic feet of files. Cabinet Y costs $20 per unit, requires eight square feet of floor space, and holds twelve cubic feet of files. You have been given $140 for this purchase, though you don't have to spend that much. The office has room for no more than 72 square feet of cabinets. How many of which model should you buy, in order to maximize storage volume?

Answer 1

Code:

%declaring initial values
xcost=10
xarea=6
xvol=8
ycost=20
yarea=8
yvol=12
maxcost=140
maxarea=72
maxv=0
for i=1:1:12
for j=1:1:7
tempv=xvol*i+yvol*j
tempc=xcost*i+ycost*j
%calculate the temporary volume and cost for i number of model 1
%and j number of model 2
if tempv>maxv&&tempc<=maxcost
%if temporary vol greater than max value till now and cost less than 140
maxv=tempv
ifinal=i
jfinal=j
end
end
end
%print the final answers
fprintf('The number of items of model 1 are %d\n',ifinal)
fprintf('The number of items of model 2 are %d\n',jfinal)
fprintf('The maximum storage will be %d\n',maxv)

Output:

The number of items of model 1 are 12 The number of items of model 2 are 1 The maximum storage will be 108