LinkedIn Company Page Growth for Laboratory Fume Cupboard

I need our LinkedIn company page, which operates squarely in the life-science space, to grow from roughly 600 followers to somewhere around 5000. The emphasis is not on vanity numbers; the new audience... (Budget: £250 - £750 GBP, Jobs: Analytics, Brand Management, Content Marketing, Digital Marketing, Growth Hacking, Lead Generation, Market Research, SEO, Social Media Management, Social Media Marketing)