3. A clothing manufacturing company makes two types of jogging pants, design A and design B. the design A jogging pants sells to
the retail stores for Php2500 each and the design B jogging pants for Php2100. The cost for manufacturing each design A is Php1750 and the cost of each design B is Php1200. If the company makes no more than 120 jogging pants a week and budgets no more than Php150000 per week, how many of each type should be made to maximize profit?
10d+5n+1p=446 subsitute n/2 for p subsitute n-5 for d 10(n-5)+5n+n/2=446 times 2 both sides 20(n-5)+10n+n=892 expand 20n-100+10n+n=892 31n-100=892 add 100 both sides 31n=992 divide both sides by 31 n=32